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Finding the Fourth Proportional to 129.80, 179.29 and 96.99

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Solution

The fourth proportional to 129.80, 179.29 and 96.99 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 179.29 = 96.99 : x
  2. Step 2: Convert to fraction form
    129.80/179.29 = 96.99/x
  3. Step 3: Cross multiply
    129.80x = 179.29 × 96.99
  4. Step 4: Simplify right side
    129.80x = 17,389.09
  5. Step 5: Solve for x
    x = 17,389.09/129.80
  6. Step 6: Final answer
    x = 133.97

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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.