5:x=10/27:1/18 пропорции

To solve this proportion, we need to find the value of x.

The proportion is:

5 : x = 10/27 : 1/18

First, let's simplify the right side of the proportion by finding the common denominator:

10/27 = (10 * 2)/(27 * 2) = 20/54 1/18 = (1 * 3)/(18 * 3) = 3/54

The proportion now becomes:

5 : x = 20/54 : 3/54

Since the denominators are the same, we can compare the numerators:

5/1 = 20/54 x/1 = 3/54

Cross-multiplying, we get:

(5 * 54) = (20 * x * 1) 270 = 20x

Now, divide both sides of the equation by 20:

x = 270/20 x = 13.5

Therefore, the value of x is 13.5.