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Finding the Fourth Proportional to 122.08, 168.36 and 104.60

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Solution

The fourth proportional to 122.08, 168.36 and 104.60 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 168.36 = 104.60 : x
  2. Step 2: Convert to fraction form
    122.08/168.36 = 104.60/x
  3. Step 3: Cross multiply
    122.08x = 168.36 × 104.60
  4. Step 4: Simplify right side
    122.08x = 17,610.46
  5. Step 5: Solve for x
    x = 17,610.46/122.08
  6. Step 6: Final answer
    x = 144.25

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