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Finding the Fourth Proportional to 82.69, 114.09 and 60.85

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Solution

The fourth proportional to 82.69, 114.09 and 60.85 is: 83.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 114.09 = 60.85 : x
  2. Step 2: Convert to fraction form
    82.69/114.09 = 60.85/x
  3. Step 3: Cross multiply
    82.69x = 114.09 × 60.85
  4. Step 4: Simplify right side
    82.69x = 6,942.38
  5. Step 5: Solve for x
    x = 6,942.38/82.69
  6. Step 6: Final answer
    x = 83.96

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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.