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Finding the Fourth Proportional to 81.84, 113.00 and 52.79

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Solution

The fourth proportional to 81.84, 113.00 and 52.79 is: 72.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 113.00 = 52.79 : x
  2. Step 2: Convert to fraction form
    81.84/113.00 = 52.79/x
  3. Step 3: Cross multiply
    81.84x = 113.00 × 52.79
  4. Step 4: Simplify right side
    81.84x = 5,964.44
  5. Step 5: Solve for x
    x = 5,964.44/81.84
  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.