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Finding the Fourth Proportional to 82.31, 113.57 and 52.82

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Solution

The fourth proportional to 82.31, 113.57 and 52.82 is: 72.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 113.57 = 52.82 : x
  2. Step 2: Convert to fraction form
    82.31/113.57 = 52.82/x
  3. Step 3: Cross multiply
    82.31x = 113.57 × 52.82
  4. Step 4: Simplify right side
    82.31x = 5,997.94
  5. Step 5: Solve for x
    x = 5,997.94/82.31
  6. Step 6: Final answer
    x = 72.87

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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.