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Finding the Fourth Proportional to 83.11, 114.42 and 68.98

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Solution

The fourth proportional to 83.11, 114.42 and 68.98 is: 94.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 114.42 = 68.98 : x
  2. Step 2: Convert to fraction form
    83.11/114.42 = 68.98/x
  3. Step 3: Cross multiply
    83.11x = 114.42 × 68.98
  4. Step 4: Simplify right side
    83.11x = 7,892.69
  5. Step 5: Solve for x
    x = 7,892.69/83.11
  6. Step 6: Final answer
    x = 94.97

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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.