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Finding the Fourth Proportional to 99.06, 136.44 and 82.68

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Solution

The fourth proportional to 99.06, 136.44 and 82.68 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.06 : 136.44 = 82.68 : x
  2. Step 2: Convert to fraction form
    99.06/136.44 = 82.68/x
  3. Step 3: Cross multiply
    99.06x = 136.44 × 82.68
  4. Step 4: Simplify right side
    99.06x = 11,280.86
  5. Step 5: Solve for x
    x = 11,280.86/99.06
  6. Step 6: Final answer
    x = 113.88

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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.