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Finding the Fourth Proportional to 122.92, 168.48 and 122.72

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Solution

The fourth proportional to 122.92, 168.48 and 122.72 is: 168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 168.48 = 122.72 : x
  2. Step 2: Convert to fraction form
    122.92/168.48 = 122.72/x
  3. Step 3: Cross multiply
    122.92x = 168.48 × 122.72
  4. Step 4: Simplify right side
    122.92x = 20,675.02
  5. Step 5: Solve for x
    x = 20,675.02/122.92
  6. Step 6: Final answer
    x = 168.20

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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.