5:x = 10/27 : 1/18
To solve this proportion, we can cross-multiply and then solve for x.
5 * (1/18) = x * (10/27)
1/18 * 5 = x * (10/27)
5/18 = x * (10/27)
To simplify the equation, we can cancel out the common factors in the numerators and denominators:
5/18 = x * (10/27)
5/18 = (10/27)x
To solve for x, we can multiply both sides by the reciprocal of (10/27), which is (27/10):
(5/18) * (27/10) = x
135/180 = x
x = 135/180
The simplified answer is:
x = 3/4
