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Finding the Fourth Proportional to 104.48, 144.17 and 57.85

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Solution

The fourth proportional to 104.48, 144.17 and 57.85 is: 79.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.48 : 144.17 = 57.85 : x
  2. Step 2: Convert to fraction form
    104.48/144.17 = 57.85/x
  3. Step 3: Cross multiply
    104.48x = 144.17 × 57.85
  4. Step 4: Simplify right side
    104.48x = 8,340.23
  5. Step 5: Solve for x
    x = 8,340.23/104.48
  6. Step 6: Final answer
    x = 79.83

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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.