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If 64:x::x:169, and x > 0, find the value of x.
Question

If 64:x::x:169, and x > 0, find the value of x.

A.

104

B.

108

C.

112

D.

96

Correct option is A

Given:

64:x::x:169

Solution: 

64:x::x:169 

64x=x169\frac{64}{x} = \frac{x}{169} 

 x2=64×169x=8×13x=104x^2 = 64 \times 169 \\ x = 8 \times 13 \\x = 104

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