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Finding the Fourth Proportional to 122.23, 168.64 and 78.58

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Solution

The fourth proportional to 122.23, 168.64 and 78.58 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 168.64 = 78.58 : x
  2. Step 2: Convert to fraction form
    122.23/168.64 = 78.58/x
  3. Step 3: Cross multiply
    122.23x = 168.64 × 78.58
  4. Step 4: Simplify right side
    122.23x = 13,251.73
  5. Step 5: Solve for x
    x = 13,251.73/122.23
  6. Step 6: Final answer
    x = 108.42

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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.