Question

find the value of x in each of the following proportion.
1. 1/5:1/4::x:1/5
2. 16:x::x:25​

Answer 1

Answer:

1. 1/5*1/5=1/4x

1/25=1/4x

4/25=x

2.16*25=2x

x=200

Answer 2

Please mark as brainliest.

Follow me.

Step-by-step explanation:

1)

$\frac{1}{5} \ratio \frac{1}{4}\ratio\ratio \: x\ratio \frac{1}{5} \\ = > \frac{ \frac{1}{5} }{ \frac{1}{4} } = \frac{x}{ \frac{1}{5} } \\ = > \frac{1}{5} \times \frac{4}{1} = x \times \frac{5}{1} \\ = > \frac{4}{5} = 5x \\ = > x = \frac{4}{5 \times 5} \\ = > x = \frac{4}{25}$

2)

$16\ratio x\ratio\ratio \: x\ratio25 \\ = > \frac{16}{x} = \frac{x}{25} \\ = > {x}^{2} = 16 \times 25 \\ = > x = \sqrt{16 \times 25} \\ = > x = \sqrt{4 \times 4 \times 5 \times 5} \\ = > x = 4 \times 5 \\ = > x = 20$