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Finding the Fourth Proportional to 94.09, 129.67 and 81.13

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Solution

The fourth proportional to 94.09, 129.67 and 81.13 is: 111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.09 : 129.67 = 81.13 : x
  2. Step 2: Convert to fraction form
    94.09/129.67 = 81.13/x
  3. Step 3: Cross multiply
    94.09x = 129.67 × 81.13
  4. Step 4: Simplify right side
    94.09x = 10,520.13
  5. Step 5: Solve for x
    x = 10,520.13/94.09
  6. Step 6: Final answer
    x = 111.81

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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.