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Finding the Fourth Proportional to 105.92, 146.13 and 85.25

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Solution

The fourth proportional to 105.92, 146.13 and 85.25 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.13 = 85.25 : x
  2. Step 2: Convert to fraction form
    105.92/146.13 = 85.25/x
  3. Step 3: Cross multiply
    105.92x = 146.13 × 85.25
  4. Step 4: Simplify right side
    105.92x = 12,456.85
  5. Step 5: Solve for x
    x = 12,456.85/105.92
  6. Step 6: Final answer
    x = 117.61

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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.