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Finding the Fourth Proportional to 96.84, 133.56 and 82.44

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Solution

The fourth proportional to 96.84, 133.56 and 82.44 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 133.56 = 82.44 : x
  2. Step 2: Convert to fraction form
    96.84/133.56 = 82.44/x
  3. Step 3: Cross multiply
    96.84x = 133.56 × 82.44
  4. Step 4: Simplify right side
    96.84x = 11,010.69
  5. Step 5: Solve for x
    x = 11,010.69/96.84
  6. Step 6: Final answer
    x = 113.70

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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.