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Finding the Fourth Proportional to 69.76, 95.75 and 61.82

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Solution

The fourth proportional to 69.76, 95.75 and 61.82 is: 84.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.76 : 95.75 = 61.82 : x
  2. Step 2: Convert to fraction form
    69.76/95.75 = 61.82/x
  3. Step 3: Cross multiply
    69.76x = 95.75 × 61.82
  4. Step 4: Simplify right side
    69.76x = 5,918.94
  5. Step 5: Solve for x
    x = 5,918.94/69.76
  6. Step 6: Final answer
    x = 84.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.