Question

ven ratios EXERCISE 12.2 Determine if the following are in proportion (a) 15, 45, 40, 120 (b) 33, 121,9.96 (d) 32, 48, 70,210 (e) 4, 6, 8, 12 Write True (T) or False (F) against each of the following statements: (a) 16:24:: 20:30 (b) 21:6:35:10 (c) 24, 28, 36, 48 (1) 33, 44, 75, 100 (c) 12:18 -- 28:12​

Answer 1

Answer:

Therefore 15, 45, 40, 120 are in proportion. Therefore 33, 121, 9, 96 are not in proportion. Therefore 24, 28, 36, 48 are not in proportion. Therefore 32, 48, 70, 210 are not in proportion.

Answer 2

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We will use the concept of proportion to solve this.

(a) 15, 45, 40, 120

⇒ 15 / 45 = 1 / 3 = 1:3

⇒ 40 / 120 = 1 / 3 = 1:3

Hence, 15:45 = 40:120

Therefore 15, 45, 40, 120 are in proportion.

(b) 33, 121, 9, 96

⇒ 33 / 121 = 3 / 11 = 3:11

⇒ 9 / 96 = 3 / 32 = 3:32

Hence, 33:121 ≠ 9:96

Therefore 33, 121, 9, 96 are not in proportion.

(c) 24, 28, 36, 48

⇒ 24 / 28 = 6 / 7 = 6:7

⇒ 36 / 48 = 3 / 4 = 3:4

Hence, 24:28 ≠ 36:48

Therefore 24, 28, 36, 48 are not in proportion.

(d) 32, 48, 70, 210

⇒ 32 / 48 = 2 / 3 = 2:3

⇒ 70 / 210 = 1 / 3 = 1:3

Hence, 32:48 ≠ 70:210

Therefore 32, 48, 70, 210 are not in proportion.

(e) 4, 6, 8, 12

⇒ 4 / 6 = 2 / 3 = 2:3

⇒ 8 / 12 = 2 / 3 = 2:3

Hence 4:6 = 8:12

Therefore 4, 6, 8, 12 are in proportion.

(f) 33, 44, 75, 100

⇒ 33 / 44 = 3 / 4 = 3:4

⇒ 75 / 100 = 3 / 4 = 3:4

Hence, 33:44 = 75:100

Therefore 33, 44, 75, 100 are in a proportion.

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