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Finding the Fourth Proportional to 86.49, 129.15 and 82.04

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Solution

The fourth proportional to 86.49, 129.15 and 82.04 is: 122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.49 : 129.15 = 82.04 : x
  2. Step 2: Convert to fraction form
    86.49/129.15 = 82.04/x
  3. Step 3: Cross multiply
    86.49x = 129.15 × 82.04
  4. Step 4: Simplify right side
    86.49x = 10,594.82
  5. Step 5: Solve for x
    x = 10,594.82/86.49
  6. Step 6: Final answer
    x = 122.50

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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.