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Finding the Fourth Proportional to 62.46, 86.24 and 41.78

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Solution

The fourth proportional to 62.46, 86.24 and 41.78 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.46 : 86.24 = 41.78 : x
  2. Step 2: Convert to fraction form
    62.46/86.24 = 41.78/x
  3. Step 3: Cross multiply
    62.46x = 86.24 × 41.78
  4. Step 4: Simplify right side
    62.46x = 3,603.11
  5. Step 5: Solve for x
    x = 3,603.11/62.46
  6. Step 6: Final answer
    x = 57.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.