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Finding the Fourth Proportional to 69.67, 104.41 and 52.66

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Solution

The fourth proportional to 69.67, 104.41 and 52.66 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 104.41 = 52.66 : x
  2. Step 2: Convert to fraction form
    69.67/104.41 = 52.66/x
  3. Step 3: Cross multiply
    69.67x = 104.41 × 52.66
  4. Step 4: Simplify right side
    69.67x = 5,498.23
  5. Step 5: Solve for x
    x = 5,498.23/69.67
  6. Step 6: Final answer
    x = 78.92

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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.