Finding the Fourth Proportional to 71.24, 106.86 and 37.02
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Solution
The fourth proportional to 71.24, 106.86 and 37.02 is: 55.53
Step by Step Solution
- Step 1: Write the proportion equation
71.24 : 106.86 = 37.02 : x - Step 2: Convert to fraction form
71.24/106.86 = 37.02/x - Step 3: Cross multiply
71.24x = 106.86 × 37.02 - Step 4: Simplify right side
71.24x = 3,955.96 - Step 5: Solve for x
x = 3,955.96/71.24 - Step 6: Final answer
x = 55.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.