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Finding the Fourth Proportional to 105.92, 146.21 and 62.24

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Solution

The fourth proportional to 105.92, 146.21 and 62.24 is: 85.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.21 = 62.24 : x
  2. Step 2: Convert to fraction form
    105.92/146.21 = 62.24/x
  3. Step 3: Cross multiply
    105.92x = 146.21 × 62.24
  4. Step 4: Simplify right side
    105.92x = 9,099.80
  5. Step 5: Solve for x
    x = 9,099.80/105.92
  6. Step 6: Final answer
    x = 85.91

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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.