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Finding the Fourth Proportional to 82.37, 113.66 and 52.82

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Solution

The fourth proportional to 82.37, 113.66 and 52.82 is: 72.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 113.66 = 52.82 : x
  2. Step 2: Convert to fraction form
    82.37/113.66 = 52.82/x
  3. Step 3: Cross multiply
    82.37x = 113.66 × 52.82
  4. Step 4: Simplify right side
    82.37x = 6,002.69
  5. Step 5: Solve for x
    x = 6,002.69/82.37
  6. Step 6: Final answer
    x = 72.88

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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.