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Finding the Fourth Proportional to 69.26, 95.66 and 66.85

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Solution

The fourth proportional to 69.26, 95.66 and 66.85 is: 92.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.26 : 95.66 = 66.85 : x
  2. Step 2: Convert to fraction form
    69.26/95.66 = 66.85/x
  3. Step 3: Cross multiply
    69.26x = 95.66 × 66.85
  4. Step 4: Simplify right side
    69.26x = 6,394.63
  5. Step 5: Solve for x
    x = 6,394.63/69.26
  6. Step 6: Final answer
    x = 92.33

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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.