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Finding the Fourth Proportional to 81.97, 113.17 and 52.88

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Solution

The fourth proportional to 81.97, 113.17 and 52.88 is: 73.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 113.17 = 52.88 : x
  2. Step 2: Convert to fraction form
    81.97/113.17 = 52.88/x
  3. Step 3: Cross multiply
    81.97x = 113.17 × 52.88
  4. Step 4: Simplify right side
    81.97x = 5,984.43
  5. Step 5: Solve for x
    x = 5,984.43/81.97
  6. Step 6: Final answer
    x = 73.01

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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.