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Finding the Fourth Proportional to 122.38, 168.95 and 78.10

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Solution

The fourth proportional to 122.38, 168.95 and 78.10 is: 107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.38 : 168.95 = 78.10 : x
  2. Step 2: Convert to fraction form
    122.38/168.95 = 78.10/x
  3. Step 3: Cross multiply
    122.38x = 168.95 × 78.10
  4. Step 4: Simplify right side
    122.38x = 13,194.77
  5. Step 5: Solve for x
    x = 13,194.77/122.38
  6. Step 6: Final answer
    x = 107.82

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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.