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Finding the Fourth Proportional to 41.76, 62.29 and 37.92

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Solution

The fourth proportional to 41.76, 62.29 and 37.92 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 62.29 = 37.92 : x
  2. Step 2: Convert to fraction form
    41.76/62.29 = 37.92/x
  3. Step 3: Cross multiply
    41.76x = 62.29 × 37.92
  4. Step 4: Simplify right side
    41.76x = 2,362.04
  5. Step 5: Solve for x
    x = 2,362.04/41.76
  6. Step 6: Final answer
    x = 56.56

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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.