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Finding the Fourth Proportional to 99.27, 137.07 and 82.66

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Solution

The fourth proportional to 99.27, 137.07 and 82.66 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.27 : 137.07 = 82.66 : x
  2. Step 2: Convert to fraction form
    99.27/137.07 = 82.66/x
  3. Step 3: Cross multiply
    99.27x = 137.07 × 82.66
  4. Step 4: Simplify right side
    99.27x = 11,330.21
  5. Step 5: Solve for x
    x = 11,330.21/99.27
  6. Step 6: Final answer
    x = 114.14

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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.