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Finding the Fourth Proportional to 94.52, 129.67 and 91.80

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Solution

The fourth proportional to 94.52, 129.67 and 91.80 is: 125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 129.67 = 91.80 : x
  2. Step 2: Convert to fraction form
    94.52/129.67 = 91.80/x
  3. Step 3: Cross multiply
    94.52x = 129.67 × 91.80
  4. Step 4: Simplify right side
    94.52x = 11,903.71
  5. Step 5: Solve for x
    x = 11,903.71/94.52
  6. Step 6: Final answer
    x = 125.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.