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Finding the Fourth Proportional to 122.02, 168.12 and 83.14

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Solution

The fourth proportional to 122.02, 168.12 and 83.14 is: 114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 168.12 = 83.14 : x
  2. Step 2: Convert to fraction form
    122.02/168.12 = 83.14/x
  3. Step 3: Cross multiply
    122.02x = 168.12 × 83.14
  4. Step 4: Simplify right side
    122.02x = 13,977.50
  5. Step 5: Solve for x
    x = 13,977.50/122.02
  6. Step 6: Final answer
    x = 114.55

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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.