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Finding the Fourth Proportional to 75.13, 111.97 and 71.65

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Solution

The fourth proportional to 75.13, 111.97 and 71.65 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.13 : 111.97 = 71.65 : x
  2. Step 2: Convert to fraction form
    75.13/111.97 = 71.65/x
  3. Step 3: Cross multiply
    75.13x = 111.97 × 71.65
  4. Step 4: Simplify right side
    75.13x = 8,022.65
  5. Step 5: Solve for x
    x = 8,022.65/75.13
  6. Step 6: Final answer
    x = 106.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.