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Finding the Fourth Proportional to 69.44, 104.20 and 49.19

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Solution

The fourth proportional to 69.44, 104.20 and 49.19 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 104.20 = 49.19 : x
  2. Step 2: Convert to fraction form
    69.44/104.20 = 49.19/x
  3. Step 3: Cross multiply
    69.44x = 104.20 × 49.19
  4. Step 4: Simplify right side
    69.44x = 5,124.95
  5. Step 5: Solve for x
    x = 5,124.95/69.44
  6. Step 6: Final answer
    x = 73.81

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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.