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Finding the Fourth Proportional to 41.54, 62.02 and 38.12

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Solution

The fourth proportional to 41.54, 62.02 and 38.12 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.54 : 62.02 = 38.12 : x
  2. Step 2: Convert to fraction form
    41.54/62.02 = 38.12/x
  3. Step 3: Cross multiply
    41.54x = 62.02 × 38.12
  4. Step 4: Simplify right side
    41.54x = 2,364.20
  5. Step 5: Solve for x
    x = 2,364.20/41.54
  6. Step 6: Final answer
    x = 56.91

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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.