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Finding the Fourth Proportional to 41.46, 62.48 and 41.12

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Solution

The fourth proportional to 41.46, 62.48 and 41.12 is: 61.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.46 : 62.48 = 41.12 : x
  2. Step 2: Convert to fraction form
    41.46/62.48 = 41.12/x
  3. Step 3: Cross multiply
    41.46x = 62.48 × 41.12
  4. Step 4: Simplify right side
    41.46x = 2,568.66
  5. Step 5: Solve for x
    x = 2,568.66/41.46
  6. Step 6: Final answer
    x = 61.96

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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.