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Finding the Fourth Proportional to 106.27, 146.66 and 81.76

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Solution

The fourth proportional to 106.27, 146.66 and 81.76 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.27 : 146.66 = 81.76 : x
  2. Step 2: Convert to fraction form
    106.27/146.66 = 81.76/x
  3. Step 3: Cross multiply
    106.27x = 146.66 × 81.76
  4. Step 4: Simplify right side
    106.27x = 11,990.92
  5. Step 5: Solve for x
    x = 11,990.92/106.27
  6. Step 6: Final answer
    x = 112.83

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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.