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Finding the Fourth Proportional to 122.14, 168.42 and 82.75

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Solution

The fourth proportional to 122.14, 168.42 and 82.75 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 168.42 = 82.75 : x
  2. Step 2: Convert to fraction form
    122.14/168.42 = 82.75/x
  3. Step 3: Cross multiply
    122.14x = 168.42 × 82.75
  4. Step 4: Simplify right side
    122.14x = 13,936.76
  5. Step 5: Solve for x
    x = 13,936.76/122.14
  6. Step 6: Final answer
    x = 114.10

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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.