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Finding the Fourth Proportional to 41.76, 62.52 and 36.48

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Solution

The fourth proportional to 41.76, 62.52 and 36.48 is: 54.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 62.52 = 36.48 : x
  2. Step 2: Convert to fraction form
    41.76/62.52 = 36.48/x
  3. Step 3: Cross multiply
    41.76x = 62.52 × 36.48
  4. Step 4: Simplify right side
    41.76x = 2,280.73
  5. Step 5: Solve for x
    x = 2,280.73/41.76
  6. Step 6: Final answer
    x = 54.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.