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Finding the Fourth Proportional to 41.30, 62.23 and 38.02

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Solution

The fourth proportional to 41.30, 62.23 and 38.02 is: 57.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.30 : 62.23 = 38.02 : x
  2. Step 2: Convert to fraction form
    41.30/62.23 = 38.02/x
  3. Step 3: Cross multiply
    41.30x = 62.23 × 38.02
  4. Step 4: Simplify right side
    41.30x = 2,365.79
  5. Step 5: Solve for x
    x = 2,365.79/41.30
  6. Step 6: Final answer
    x = 57.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.