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Finding the Fourth Proportional to 69.06, 95.38 and 61.78

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Solution

The fourth proportional to 69.06, 95.38 and 61.78 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 95.38 = 61.78 : x
  2. Step 2: Convert to fraction form
    69.06/95.38 = 61.78/x
  3. Step 3: Cross multiply
    69.06x = 95.38 × 61.78
  4. Step 4: Simplify right side
    69.06x = 5,892.58
  5. Step 5: Solve for x
    x = 5,892.58/69.06
  6. Step 6: Final answer
    x = 85.33

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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.