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Finding the Fourth Proportional to 104.44, 144.12 and 82.66

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Solution

The fourth proportional to 104.44, 144.12 and 82.66 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.44 : 144.12 = 82.66 : x
  2. Step 2: Convert to fraction form
    104.44/144.12 = 82.66/x
  3. Step 3: Cross multiply
    104.44x = 144.12 × 82.66
  4. Step 4: Simplify right side
    104.44x = 11,912.96
  5. Step 5: Solve for x
    x = 11,912.96/104.44
  6. Step 6: Final answer
    x = 114.07

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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.