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Finding the Fourth Proportional to 40.39, 60.47 and 31.87

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Solution

The fourth proportional to 40.39, 60.47 and 31.87 is: 47.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.39 : 60.47 = 31.87 : x
  2. Step 2: Convert to fraction form
    40.39/60.47 = 31.87/x
  3. Step 3: Cross multiply
    40.39x = 60.47 × 31.87
  4. Step 4: Simplify right side
    40.39x = 1,927.18
  5. Step 5: Solve for x
    x = 1,927.18/40.39
  6. Step 6: Final answer
    x = 47.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.