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Finding the Fourth Proportional to 129.07, 193.38 and 80.20

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Solution

The fourth proportional to 129.07, 193.38 and 80.20 is: 120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.07 : 193.38 = 80.20 : x
  2. Step 2: Convert to fraction form
    129.07/193.38 = 80.20/x
  3. Step 3: Cross multiply
    129.07x = 193.38 × 80.20
  4. Step 4: Simplify right side
    129.07x = 15,509.08
  5. Step 5: Solve for x
    x = 15,509.08/129.07
  6. Step 6: Final answer
    x = 120.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.