Finding the Fourth Proportional to 39.78, 59.67 and 31.82
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Solution
The fourth proportional to 39.78, 59.67 and 31.82 is: 47.72
Step by Step Solution
- Step 1: Write the proportion equation
39.78 : 59.67 = 31.82 : x - Step 2: Convert to fraction form
39.78/59.67 = 31.82/x - Step 3: Cross multiply
39.78x = 59.67 × 31.82 - Step 4: Simplify right side
39.78x = 1,898.40 - Step 5: Solve for x
x = 1,898.40/39.78 - Step 6: Final answer
x = 47.72
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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.