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Finding the Fourth Proportional to 122.14, 168.54 and 78.48

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Solution

The fourth proportional to 122.14, 168.54 and 78.48 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 168.54 = 78.48 : x
  2. Step 2: Convert to fraction form
    122.14/168.54 = 78.48/x
  3. Step 3: Cross multiply
    122.14x = 168.54 × 78.48
  4. Step 4: Simplify right side
    122.14x = 13,227.02
  5. Step 5: Solve for x
    x = 13,227.02/122.14
  6. Step 6: Final answer
    x = 108.29

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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.