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Finding the Fourth Proportional to 41.54, 62.24 and 27.97

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Solution

The fourth proportional to 41.54, 62.24 and 27.97 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.54 : 62.24 = 27.97 : x
  2. Step 2: Convert to fraction form
    41.54/62.24 = 27.97/x
  3. Step 3: Cross multiply
    41.54x = 62.24 × 27.97
  4. Step 4: Simplify right side
    41.54x = 1,740.56
  5. Step 5: Solve for x
    x = 1,740.56/41.54
  6. Step 6: Final answer
    x = 41.91

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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.