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Finding the Fourth Proportional to 86.86, 120.49 and 82.25

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Solution

The fourth proportional to 86.86, 120.49 and 82.25 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.86 : 120.49 = 82.25 : x
  2. Step 2: Convert to fraction form
    86.86/120.49 = 82.25/x
  3. Step 3: Cross multiply
    86.86x = 120.49 × 82.25
  4. Step 4: Simplify right side
    86.86x = 9,909.29
  5. Step 5: Solve for x
    x = 9,909.29/86.86
  6. Step 6: Final answer
    x = 114.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.