To solve the proportion 5:x = 10/27:1/18, we can cross-multiply and solve for x.
Cross-multiplying: 5 * (1/18) = x * (10/27)
Simplifying both sides: 5/18 = 10x/27
To eliminate the fractions, we can multiply both sides by the least common multiple (LCM) of the denominators, which is 54: (5/18) * 54 = (10x/27) * 54
Simplifying: 15 = 20x
Dividing both sides by 20: x = 15/20
Simplifying further: x = 3/4
Therefore, the value of x in the given proportion is 3/4.
