Finding the Fourth Proportional to 55.18, 82.71 and 32.02
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Solution
The fourth proportional to 55.18, 82.71 and 32.02 is: 47.99
Step by Step Solution
- Step 1: Write the proportion equation
55.18 : 82.71 = 32.02 : x - Step 2: Convert to fraction form
55.18/82.71 = 32.02/x - Step 3: Cross multiply
55.18x = 82.71 × 32.02 - Step 4: Simplify right side
55.18x = 2,647.96 - Step 5: Solve for x
x = 2,647.96/55.18 - Step 6: Final answer
x = 47.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.