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Finding the Fourth Proportional to 41.76, 62.95 and 38.97

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Solution

The fourth proportional to 41.76, 62.95 and 38.97 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 62.95 = 38.97 : x
  2. Step 2: Convert to fraction form
    41.76/62.95 = 38.97/x
  3. Step 3: Cross multiply
    41.76x = 62.95 × 38.97
  4. Step 4: Simplify right side
    41.76x = 2,453.24
  5. Step 5: Solve for x
    x = 2,453.24/41.76
  6. Step 6: Final answer
    x = 58.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.