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Finding the Fourth Proportional to 69.78, 104.65 and 33.22

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Solution

The fourth proportional to 69.78, 104.65 and 33.22 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 104.65 = 33.22 : x
  2. Step 2: Convert to fraction form
    69.78/104.65 = 33.22/x
  3. Step 3: Cross multiply
    69.78x = 104.65 × 33.22
  4. Step 4: Simplify right side
    69.78x = 3,476.12
  5. Step 5: Solve for x
    x = 3,476.12/69.78
  6. Step 6: Final answer
    x = 49.82

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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.