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Finding the Fourth Proportional to 41.57, 57.32 and 29.90

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Solution

The fourth proportional to 41.57, 57.32 and 29.90 is: 41.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 57.32 = 29.90 : x
  2. Step 2: Convert to fraction form
    41.57/57.32 = 29.90/x
  3. Step 3: Cross multiply
    41.57x = 57.32 × 29.90
  4. Step 4: Simplify right side
    41.57x = 1,713.66
  5. Step 5: Solve for x
    x = 1,713.66/41.57
  6. Step 6: Final answer
    x = 41.22

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Why These Related Problems?

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