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Finding the Fourth Proportional to 81.96, 113.06 and 52.84

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Solution

The fourth proportional to 81.96, 113.06 and 52.84 is: 72.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.96 : 113.06 = 52.84 : x
  2. Step 2: Convert to fraction form
    81.96/113.06 = 52.84/x
  3. Step 3: Cross multiply
    81.96x = 113.06 × 52.84
  4. Step 4: Simplify right side
    81.96x = 5,974.09
  5. Step 5: Solve for x
    x = 5,974.09/81.96
  6. Step 6: Final answer
    x = 72.89

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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.