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Finding the Fourth Proportional to 104.24, 143.92 and 82.32

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Solution

The fourth proportional to 104.24, 143.92 and 82.32 is: 113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 143.92 = 82.32 : x
  2. Step 2: Convert to fraction form
    104.24/143.92 = 82.32/x
  3. Step 3: Cross multiply
    104.24x = 143.92 × 82.32
  4. Step 4: Simplify right side
    104.24x = 11,847.49
  5. Step 5: Solve for x
    x = 11,847.49/104.24
  6. Step 6: Final answer
    x = 113.66

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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.