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Finding the Fourth Proportional to 122.06, 168.14 and 115.22

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Solution

The fourth proportional to 122.06, 168.14 and 115.22 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 168.14 = 115.22 : x
  2. Step 2: Convert to fraction form
    122.06/168.14 = 115.22/x
  3. Step 3: Cross multiply
    122.06x = 168.14 × 115.22
  4. Step 4: Simplify right side
    122.06x = 19,373.09
  5. Step 5: Solve for x
    x = 19,373.09/122.06
  6. Step 6: Final answer
    x = 158.72

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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.