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Finding the Fourth Proportional to 122.73, 169.71 and 120.77

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Solution

The fourth proportional to 122.73, 169.71 and 120.77 is: 167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 169.71 = 120.77 : x
  2. Step 2: Convert to fraction form
    122.73/169.71 = 120.77/x
  3. Step 3: Cross multiply
    122.73x = 169.71 × 120.77
  4. Step 4: Simplify right side
    122.73x = 20,496.85
  5. Step 5: Solve for x
    x = 20,496.85/122.73
  6. Step 6: Final answer
    x = 167.01

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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.