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Finding the Fourth Proportional to 105.98, 146.21 and 83.85

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Solution

The fourth proportional to 105.98, 146.21 and 83.85 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 146.21 = 83.85 : x
  2. Step 2: Convert to fraction form
    105.98/146.21 = 83.85/x
  3. Step 3: Cross multiply
    105.98x = 146.21 × 83.85
  4. Step 4: Simplify right side
    105.98x = 12,260.30
  5. Step 5: Solve for x
    x = 12,260.30/105.98
  6. Step 6: Final answer
    x = 115.69

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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.