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Finding the Fourth Proportional to 83.09, 114.16 and 77.75

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Solution

The fourth proportional to 83.09, 114.16 and 77.75 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.16 = 77.75 : x
  2. Step 2: Convert to fraction form
    83.09/114.16 = 77.75/x
  3. Step 3: Cross multiply
    83.09x = 114.16 × 77.75
  4. Step 4: Simplify right side
    83.09x = 8,876.56
  5. Step 5: Solve for x
    x = 8,876.56/83.09
  6. Step 6: Final answer
    x = 106.84

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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.