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Finding the Fourth Proportional to 105.92, 146.14 and 62.23

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Solution

The fourth proportional to 105.92, 146.14 and 62.23 is: 85.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.14 = 62.23 : x
  2. Step 2: Convert to fraction form
    105.92/146.14 = 62.23/x
  3. Step 3: Cross multiply
    105.92x = 146.14 × 62.23
  4. Step 4: Simplify right side
    105.92x = 9,093.25
  5. Step 5: Solve for x
    x = 9,093.25/105.92
  6. Step 6: Final answer
    x = 85.85

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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.