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Finding the Fourth Proportional to 87.42, 130.96 and 41.74

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Solution

The fourth proportional to 87.42, 130.96 and 41.74 is: 62.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.42 : 130.96 = 41.74 : x
  2. Step 2: Convert to fraction form
    87.42/130.96 = 41.74/x
  3. Step 3: Cross multiply
    87.42x = 130.96 × 41.74
  4. Step 4: Simplify right side
    87.42x = 5,466.27
  5. Step 5: Solve for x
    x = 5,466.27/87.42
  6. Step 6: Final answer
    x = 62.53

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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.