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Finding the Fourth Proportional to 122.04, 168.42 and 78.48

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Solution

The fourth proportional to 122.04, 168.42 and 78.48 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 168.42 = 78.48 : x
  2. Step 2: Convert to fraction form
    122.04/168.42 = 78.48/x
  3. Step 3: Cross multiply
    122.04x = 168.42 × 78.48
  4. Step 4: Simplify right side
    122.04x = 13,217.60
  5. Step 5: Solve for x
    x = 13,217.60/122.04
  6. Step 6: Final answer
    x = 108.31

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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.