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Finding the Fourth Proportional to 130.75, 180.41 and 80.97

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Solution

The fourth proportional to 130.75, 180.41 and 80.97 is: 111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.75 : 180.41 = 80.97 : x
  2. Step 2: Convert to fraction form
    130.75/180.41 = 80.97/x
  3. Step 3: Cross multiply
    130.75x = 180.41 × 80.97
  4. Step 4: Simplify right side
    130.75x = 14,608.69
  5. Step 5: Solve for x
    x = 14,608.69/130.75
  6. Step 6: Final answer
    x = 111.73

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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.