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Finding the Fourth Proportional to 106.29, 146.73 and 81.78

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Solution

The fourth proportional to 106.29, 146.73 and 81.78 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 146.73 = 81.78 : x
  2. Step 2: Convert to fraction form
    106.29/146.73 = 81.78/x
  3. Step 3: Cross multiply
    106.29x = 146.73 × 81.78
  4. Step 4: Simplify right side
    106.29x = 11,999.58
  5. Step 5: Solve for x
    x = 11,999.58/106.29
  6. Step 6: Final answer
    x = 112.89

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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.