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Finding the Fourth Proportional to 39.82, 60.02 and 38.90

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Solution

The fourth proportional to 39.82, 60.02 and 38.90 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.82 : 60.02 = 38.90 : x
  2. Step 2: Convert to fraction form
    39.82/60.02 = 38.90/x
  3. Step 3: Cross multiply
    39.82x = 60.02 × 38.90
  4. Step 4: Simplify right side
    39.82x = 2,334.78
  5. Step 5: Solve for x
    x = 2,334.78/39.82
  6. Step 6: Final answer
    x = 58.63

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