can you solve this question 16,x,x,61 are in proportion find the value of x?

fast tmr is my exam pleasse!!!!

Question

can you solve this question 16,x,x,61 are in proportion find the
value of x?
fast tmr is my exam pleasse!!!!

Aakash Sharma · Accepted Answer

Dear Student!

Here is the answer to your query.

Given : 16, x, x, 61 are in proportion.

⇒ 16 : x = x : 61

$\Rightarrow \frac{16}{x} = \frac{x}{61}$

⇒ x² = 16 × 61 = 976

$\Rightarrow x = \sqrt{976} = 4 \sqrt{61} = 4 \times 7.81 = 31.24 (approx)$

Hence the value of x is $4 \sqrt{61}$ i.e. approximately 31.24

Cheers!