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Finding the Fourth Proportional to 31.91, 44.01 and 22.73

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Solution

The fourth proportional to 31.91, 44.01 and 22.73 is: 31.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.91 : 44.01 = 22.73 : x
  2. Step 2: Convert to fraction form
    31.91/44.01 = 22.73/x
  3. Step 3: Cross multiply
    31.91x = 44.01 × 22.73
  4. Step 4: Simplify right side
    31.91x = 1,000.13
  5. Step 5: Solve for x
    x = 1,000.13/31.91
  6. Step 6: Final answer
    x = 31.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.