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Finding the Fourth Proportional to 31.54, 47.22 and 24.29

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Solution

The fourth proportional to 31.54, 47.22 and 24.29 is: 36.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.54 : 47.22 = 24.29 : x
  2. Step 2: Convert to fraction form
    31.54/47.22 = 24.29/x
  3. Step 3: Cross multiply
    31.54x = 47.22 × 24.29
  4. Step 4: Simplify right side
    31.54x = 1,146.97
  5. Step 5: Solve for x
    x = 1,146.97/31.54
  6. Step 6: Final answer
    x = 36.37

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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.