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Finding the Fourth Proportional to 41.27, 56.92 and 24.02

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Solution

The fourth proportional to 41.27, 56.92 and 24.02 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.27 : 56.92 = 24.02 : x
  2. Step 2: Convert to fraction form
    41.27/56.92 = 24.02/x
  3. Step 3: Cross multiply
    41.27x = 56.92 × 24.02
  4. Step 4: Simplify right side
    41.27x = 1,366.87
  5. Step 5: Solve for x
    x = 1,366.87/41.27
  6. Step 6: Final answer
    x = 33.12

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