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Finding the Fourth Proportional to 105.92, 146.25 and 69.17

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Solution

The fourth proportional to 105.92, 146.25 and 69.17 is: 95.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.25 = 69.17 : x
  2. Step 2: Convert to fraction form
    105.92/146.25 = 69.17/x
  3. Step 3: Cross multiply
    105.92x = 146.25 × 69.17
  4. Step 4: Simplify right side
    105.92x = 10,115.38
  5. Step 5: Solve for x
    x = 10,115.38/105.92
  6. Step 6: Final answer
    x = 95.50

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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.