Question

1/6:1/X::1/X:1/96, then the value of X will be​

Answer 1

Answer:

Here is the answer.

Step-by-step explanation:

$\frac{1}{6} \ratio \frac{1}{x} \ratio \: \ratio \frac{1}{x} \ratio \frac{1}{96} \\ = > \frac{ \frac{1}{6} }{ \frac{1}{x} } = \frac{ \frac{1}{x} }{ \frac{1}{96} } \\ = > \frac{1}{6} \times \frac{x}{1} = \frac{1}{x} \times \frac{96}{1} \\ = > \frac{x}{6} = \frac{96}{x} \\ = > {x}^{2} = 96 \times 6 \\ = > {x}^{2} = 96 \times 6 \\ = > x = \sqrt{96 \times 6} \\ = > x = \sqrt{4 \times 4 \times 6 \times 6} \\ = > x = 4 \times 6 \\ = > x = 24$