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Finding the Fourth Proportional to 69.41, 104.15 and 41.96

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Solution

The fourth proportional to 69.41, 104.15 and 41.96 is: 62.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.41 : 104.15 = 41.96 : x
  2. Step 2: Convert to fraction form
    69.41/104.15 = 41.96/x
  3. Step 3: Cross multiply
    69.41x = 104.15 × 41.96
  4. Step 4: Simplify right side
    69.41x = 4,370.13
  5. Step 5: Solve for x
    x = 4,370.13/69.41
  6. Step 6: Final answer
    x = 62.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.