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Finding the Fourth Proportional to 96.67, 133.14 and 82.09

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Solution

The fourth proportional to 96.67, 133.14 and 82.09 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.67 : 133.14 = 82.09 : x
  2. Step 2: Convert to fraction form
    96.67/133.14 = 82.09/x
  3. Step 3: Cross multiply
    96.67x = 133.14 × 82.09
  4. Step 4: Simplify right side
    96.67x = 10,929.46
  5. Step 5: Solve for x
    x = 10,929.46/96.67
  6. Step 6: Final answer
    x = 113.06

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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.