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Finding the Fourth Proportional to 86.47, 129.40 and 82.42

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Solution

The fourth proportional to 86.47, 129.40 and 82.42 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.47 : 129.40 = 82.42 : x
  2. Step 2: Convert to fraction form
    86.47/129.40 = 82.42/x
  3. Step 3: Cross multiply
    86.47x = 129.40 × 82.42
  4. Step 4: Simplify right side
    86.47x = 10,664.62
  5. Step 5: Solve for x
    x = 10,664.62/86.47
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.