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Finding the Fourth Proportional to 106.18, 146.54 and 81.61

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Solution

The fourth proportional to 106.18, 146.54 and 81.61 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.18 : 146.54 = 81.61 : x
  2. Step 2: Convert to fraction form
    106.18/146.54 = 81.61/x
  3. Step 3: Cross multiply
    106.18x = 146.54 × 81.61
  4. Step 4: Simplify right side
    106.18x = 11,957.99
  5. Step 5: Solve for x
    x = 11,957.99/106.18
  6. Step 6: Final answer
    x = 112.63

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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.