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Finding the Fourth Proportional to 122.14, 168.49 and 80.64

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Solution

The fourth proportional to 122.14, 168.49 and 80.64 is: 111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 168.49 = 80.64 : x
  2. Step 2: Convert to fraction form
    122.14/168.49 = 80.64/x
  3. Step 3: Cross multiply
    122.14x = 168.49 × 80.64
  4. Step 4: Simplify right side
    122.14x = 13,587.13
  5. Step 5: Solve for x
    x = 13,587.13/122.14
  6. Step 6: Final answer
    x = 111.24

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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.