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Finding the Fourth Proportional to 41.43, 61.74 and 39.71

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Solution

The fourth proportional to 41.43, 61.74 and 39.71 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.43 : 61.74 = 39.71 : x
  2. Step 2: Convert to fraction form
    41.43/61.74 = 39.71/x
  3. Step 3: Cross multiply
    41.43x = 61.74 × 39.71
  4. Step 4: Simplify right side
    41.43x = 2,451.39
  5. Step 5: Solve for x
    x = 2,451.39/41.43
  6. Step 6: Final answer
    x = 59.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.