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Finding the Fourth Proportional to 106.29, 146.82 and 81.69

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Solution

The fourth proportional to 106.29, 146.82 and 81.69 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 146.82 = 81.69 : x
  2. Step 2: Convert to fraction form
    106.29/146.82 = 81.69/x
  3. Step 3: Cross multiply
    106.29x = 146.82 × 81.69
  4. Step 4: Simplify right side
    106.29x = 11,993.73
  5. Step 5: Solve for x
    x = 11,993.73/106.29
  6. Step 6: Final answer
    x = 112.84

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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.