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Finding the Fourth Proportional to 129.20, 192.96 and 110.97

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Solution

The fourth proportional to 129.20, 192.96 and 110.97 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 192.96 = 110.97 : x
  2. Step 2: Convert to fraction form
    129.20/192.96 = 110.97/x
  3. Step 3: Cross multiply
    129.20x = 192.96 × 110.97
  4. Step 4: Simplify right side
    129.20x = 21,412.77
  5. Step 5: Solve for x
    x = 21,412.77/129.20
  6. Step 6: Final answer
    x = 165.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.