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Finding the Fourth Proportional to 81.96, 113.11 and 54.31

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Solution

The fourth proportional to 81.96, 113.11 and 54.31 is: 74.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.96 : 113.11 = 54.31 : x
  2. Step 2: Convert to fraction form
    81.96/113.11 = 54.31/x
  3. Step 3: Cross multiply
    81.96x = 113.11 × 54.31
  4. Step 4: Simplify right side
    81.96x = 6,143.00
  5. Step 5: Solve for x
    x = 6,143.00/81.96
  6. Step 6: Final answer
    x = 74.95

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Why These Related Problems?

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