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Finding the Fourth Proportional to 41.78, 57.32 and 38.13

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Solution

The fourth proportional to 41.78, 57.32 and 38.13 is: 52.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.32 = 38.13 : x
  2. Step 2: Convert to fraction form
    41.78/57.32 = 38.13/x
  3. Step 3: Cross multiply
    41.78x = 57.32 × 38.13
  4. Step 4: Simplify right side
    41.78x = 2,185.42
  5. Step 5: Solve for x
    x = 2,185.42/41.78
  6. Step 6: Final answer
    x = 52.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.