Finding the Fourth Proportional to 132.23, 182.49 and 74.02
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Solution
The fourth proportional to 132.23, 182.49 and 74.02 is: 102.15
Step by Step Solution
- Step 1: Write the proportion equation
132.23 : 182.49 = 74.02 : x - Step 2: Convert to fraction form
132.23/182.49 = 74.02/x - Step 3: Cross multiply
132.23x = 182.49 × 74.02 - Step 4: Simplify right side
132.23x = 13,507.91 - Step 5: Solve for x
x = 13,507.91/132.23 - Step 6: Final answer
x = 102.15
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.