Finding the Fourth Proportional to 71.24, 106.94 and 37.08
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Solution
The fourth proportional to 71.24, 106.94 and 37.08 is: 55.66
Step by Step Solution
- Step 1: Write the proportion equation
71.24 : 106.94 = 37.08 : x - Step 2: Convert to fraction form
71.24/106.94 = 37.08/x - Step 3: Cross multiply
71.24x = 106.94 × 37.08 - Step 4: Simplify right side
71.24x = 3,965.34 - Step 5: Solve for x
x = 3,965.34/71.24 - Step 6: Final answer
x = 55.66
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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.