Find the value of x in each of the following : (i) 42 : 12 : : 7 : x (ii) 1.8 : x : : 2.4 : 6.0 (iii) 6 : 0.8 : : x : 10 (iv) x : 1.6 : : 2.1 : 8.4 (v) : x : : (vi) 16 : x : : x : 25

Question

KnowledgeBoat · Accepted Answer

(i) 42 : 12 : : 7 : x In a proportion, we know that: product of extremes = product of means ∴ 12 x 7 = 42 x x ⇒ 84 = 42x ⇒ x = Hence, x = 2 (ii) 1.8 : x : : 2.4 : 6.0 In a proportion, we know that: product of extremes = product of means ∴ x x 2.4 = 1.8 x 6.0 ⇒ 2.4x = 10.8 ⇒ x = Hence, x = 4.5 (iii) 6 : 0.8 : : x : 10 In a proportion, we know that: product of extremes = product of means ∴ 0.8 x x = 6 x 10 ⇒ 0.8x = 60 ⇒ x = . Hence, x = 75 (iv) x : 1.6 : : 2.1 : 8.4 In a proportion, we know that: product of extremes = product of means ∴ 1.6 x 2.1 = x x 8.4 ⇒ 3.36 = 8.4x ⇒ x = Hence, x = 0.4 (v) : x : : In a proportion, we know that: product of extremes = product of means ⇒ ⇒ x = . Hence, x = (vi) 16 : x : : x : 25 In a proportion, we know that: product of extremes = product of means ∴ x x x = 16 x 25 ⇒ x2 = 400 ⇒ x = Hence, x = 20

Mathematics

Find the value of x in each of the following : (i) 42 : 12 : : 7 : x (ii) 1.8 : x : : 2.4 : 6.0 (iii) 6 : 0.8 : : x : 10 (iv) x : 1.6 : : 2.1 : 8.4 (v) : x : : (vi) 16 : x : : x : 25

Ratio Proportion

Related Questions

Which of the following statements are true?
(i) 51 : 68 = 85 : 102
(ii) 1.5 : 2.5 = 3.6 : 6
(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270
(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9

Mathematics

Find the value of x in each of the following : (i) 42 : 12 : : 7 : x (ii) 1.8 : x : : 2.4 : 6.0 (iii) 6 : 0.8 : : x : 10 (iv) x : 1.6 : : 2.1 : 8.4 (v) : x : : (vi) 16 : x : : x : 25

Ratio Proportion

Related Questions

Which of the following statements are true?(i) 51 : 68 = 85 : 102(ii) 1.5 : 2.5 = 3.6 : 6(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9

Which of the following statements are true?
(i) 51 : 68 = 85 : 102
(ii) 1.5 : 2.5 = 3.6 : 6
(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270
(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9