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Finding the Fourth Proportional to 69.20, 95.45 and 41.55

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Solution

The fourth proportional to 69.20, 95.45 and 41.55 is: 57.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.20 : 95.45 = 41.55 : x
  2. Step 2: Convert to fraction form
    69.20/95.45 = 41.55/x
  3. Step 3: Cross multiply
    69.20x = 95.45 × 41.55
  4. Step 4: Simplify right side
    69.20x = 3,965.74
  5. Step 5: Solve for x
    x = 3,965.74/69.20
  6. Step 6: Final answer
    x = 57.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.