Question

Q. Find the values of x in the following ratios :
a) 9:x:16
b) 4:9:x
c) x:8:10

Answer 1

Answer:

Step-by-step explanation:

Given:

a) 9:x:16

⇔x²=16×9 = 144

⇔x = 12

b) 4:9:x

⇔9²= x × 4

⇔x = 81/4

c) x:8:10

⇔8² = x × 10

⇔x = 64/10 = 32/5

Answer 2

Answer:

a) 9:12::12:16

b) 4:9::36:81

c) 64:80::8:10

Step by step explanation:

Here the ratios are in continued proportion so we can write that

a)

9/x= x/16

or, (x)^2=144

or, x=√(144)

or, x = 12

b)

4/9= 9/x

or, 4x = 9^2

or, x = 81/4

c)

x/8 = 8/10

or, 10x = 64

or, x= 64/10

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