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Finding the Fourth Proportional to 99.24, 136.37 and 82.83

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Solution

The fourth proportional to 99.24, 136.37 and 82.83 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 136.37 = 82.83 : x
  2. Step 2: Convert to fraction form
    99.24/136.37 = 82.83/x
  3. Step 3: Cross multiply
    99.24x = 136.37 × 82.83
  4. Step 4: Simplify right side
    99.24x = 11,295.93
  5. Step 5: Solve for x
    x = 11,295.93/99.24
  6. Step 6: Final answer
    x = 113.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.