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Finding the Fourth Proportional to 122.61, 169.15 and 78.34

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Solution

The fourth proportional to 122.61, 169.15 and 78.34 is: 108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.61 : 169.15 = 78.34 : x
  2. Step 2: Convert to fraction form
    122.61/169.15 = 78.34/x
  3. Step 3: Cross multiply
    122.61x = 169.15 × 78.34
  4. Step 4: Simplify right side
    122.61x = 13,251.64
  5. Step 5: Solve for x
    x = 13,251.64/122.61
  6. Step 6: Final answer
    x = 108.08

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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.