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Finding the Fourth Proportional to 134.88, 186.14 and 82.42

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Solution

The fourth proportional to 134.88, 186.14 and 82.42 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.88 : 186.14 = 82.42 : x
  2. Step 2: Convert to fraction form
    134.88/186.14 = 82.42/x
  3. Step 3: Cross multiply
    134.88x = 186.14 × 82.42
  4. Step 4: Simplify right side
    134.88x = 15,340.73
  5. Step 5: Solve for x
    x = 15,340.73/134.88
  6. Step 6: Final answer
    x = 113.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.