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Finding the Fourth Proportional to 87.89, 131.85 and 49.41

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Solution

The fourth proportional to 87.89, 131.85 and 49.41 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.89 : 131.85 = 49.41 : x
  2. Step 2: Convert to fraction form
    87.89/131.85 = 49.41/x
  3. Step 3: Cross multiply
    87.89x = 131.85 × 49.41
  4. Step 4: Simplify right side
    87.89x = 6,514.71
  5. Step 5: Solve for x
    x = 6,514.71/87.89
  6. Step 6: Final answer
    x = 74.13

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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.