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Finding the Fourth Proportional to 86.85, 129.37 and 82.19

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Solution

The fourth proportional to 86.85, 129.37 and 82.19 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.85 : 129.37 = 82.19 : x
  2. Step 2: Convert to fraction form
    86.85/129.37 = 82.19/x
  3. Step 3: Cross multiply
    86.85x = 129.37 × 82.19
  4. Step 4: Simplify right side
    86.85x = 10,632.92
  5. Step 5: Solve for x
    x = 10,632.92/86.85
  6. Step 6: Final answer
    x = 122.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.