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Finding the Fourth Proportional to 122.77, 168.32 and 120.88

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Solution

The fourth proportional to 122.77, 168.32 and 120.88 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 168.32 = 120.88 : x
  2. Step 2: Convert to fraction form
    122.77/168.32 = 120.88/x
  3. Step 3: Cross multiply
    122.77x = 168.32 × 120.88
  4. Step 4: Simplify right side
    122.77x = 20,346.52
  5. Step 5: Solve for x
    x = 20,346.52/122.77
  6. Step 6: Final answer
    x = 165.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.