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Finding the Fourth Proportional to 40.39, 60.13 and 39.82

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Solution

The fourth proportional to 40.39, 60.13 and 39.82 is: 59.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.39 : 60.13 = 39.82 : x
  2. Step 2: Convert to fraction form
    40.39/60.13 = 39.82/x
  3. Step 3: Cross multiply
    40.39x = 60.13 × 39.82
  4. Step 4: Simplify right side
    40.39x = 2,394.38
  5. Step 5: Solve for x
    x = 2,394.38/40.39
  6. Step 6: Final answer
    x = 59.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.