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Finding the Fourth Proportional to 69.26, 95.46 and 55.42

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Solution

The fourth proportional to 69.26, 95.46 and 55.42 is: 76.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.26 : 95.46 = 55.42 : x
  2. Step 2: Convert to fraction form
    69.26/95.46 = 55.42/x
  3. Step 3: Cross multiply
    69.26x = 95.46 × 55.42
  4. Step 4: Simplify right side
    69.26x = 5,290.15
  5. Step 5: Solve for x
    x = 5,290.15/69.26
  6. Step 6: Final answer
    x = 76.39

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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.