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Finding the Fourth Proportional to 82.16, 113.30 and 63.73

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Solution

The fourth proportional to 82.16, 113.30 and 63.73 is: 87.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 113.30 = 63.73 : x
  2. Step 2: Convert to fraction form
    82.16/113.30 = 63.73/x
  3. Step 3: Cross multiply
    82.16x = 113.30 × 63.73
  4. Step 4: Simplify right side
    82.16x = 7,220.04
  5. Step 5: Solve for x
    x = 7,220.04/82.16
  6. Step 6: Final answer
    x = 87.88

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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.