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Finding the Fourth Proportional to 41.38, 57.10 and 24.14

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Solution

The fourth proportional to 41.38, 57.10 and 24.14 is: 33.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.38 : 57.10 = 24.14 : x
  2. Step 2: Convert to fraction form
    41.38/57.10 = 24.14/x
  3. Step 3: Cross multiply
    41.38x = 57.10 × 24.14
  4. Step 4: Simplify right side
    41.38x = 1,378.39
  5. Step 5: Solve for x
    x = 1,378.39/41.38
  6. Step 6: Final answer
    x = 33.31

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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.