Question

chapter- Ratio and proportion question- prove that the following numbers are in continued proportion. a) 9,6,4 b) 27,9,3 c) 25,10,4 d) 8,20,50. please answer all of these with steps. thank you​

Answer 1

Answer:

it will be answer b)27,10,4

Step-by-step explanation:

becase oh man i don't know but it will be b)27,10,4

Answer 2

Answer:

a) 9, 6, 4 are in proportion.

b) 27, 9, 3 are in proportion.

c) 25, 10, 4 are in proportion.

d) 8, 20, 50 are in proportion.

Step-by-step explanation:

a, b and c are said to be in proportion when $b^2 = a.c$

a) 6x6 = 36, and 9x4 =36.  ∴ $6^2 = 9 . 4$  Therefore, 9, 6, 4 are in proportion.

b) 9x9 = 81, and 27x3 =81.  ∴ $9^2 = 27 . 3$  Therefore, 27, 9, 3 are in proportion.

c) 10x10 = 100, and 25x4 =100.  ∴ $(10)^2 = 25 . 4$  ∴ 25, 10, 4 are in proportion.

d) 20x20 = 400, and 8x50=400. ∴ $(20)^2 = 8 . 50$  ∴ 8, 20, 50 are in proportion.