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Finding the Fourth Proportional to 122.24, 168.62 and 78.48

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Solution

The fourth proportional to 122.24, 168.62 and 78.48 is: 108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 168.62 = 78.48 : x
  2. Step 2: Convert to fraction form
    122.24/168.62 = 78.48/x
  3. Step 3: Cross multiply
    122.24x = 168.62 × 78.48
  4. Step 4: Simplify right side
    122.24x = 13,233.30
  5. Step 5: Solve for x
    x = 13,233.30/122.24
  6. Step 6: Final answer
    x = 108.26

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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.