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Finding the Fourth Proportional to 106.33, 146.47 and 81.73

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Solution

The fourth proportional to 106.33, 146.47 and 81.73 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.33 : 146.47 = 81.73 : x
  2. Step 2: Convert to fraction form
    106.33/146.47 = 81.73/x
  3. Step 3: Cross multiply
    106.33x = 146.47 × 81.73
  4. Step 4: Simplify right side
    106.33x = 11,970.99
  5. Step 5: Solve for x
    x = 11,970.99/106.33
  6. Step 6: Final answer
    x = 112.58

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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.