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Finding the Fourth Proportional to 82.00, 113.14 and 52.88

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Solution

The fourth proportional to 82.00, 113.14 and 52.88 is: 72.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.00 : 113.14 = 52.88 : x
  2. Step 2: Convert to fraction form
    82.00/113.14 = 52.88/x
  3. Step 3: Cross multiply
    82.00x = 113.14 × 52.88
  4. Step 4: Simplify right side
    82.00x = 5,982.34
  5. Step 5: Solve for x
    x = 5,982.34/82.00
  6. Step 6: Final answer
    x = 72.95

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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.