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Finding the Fourth Proportional to 76.43, 105.56 and 67.11

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Solution

The fourth proportional to 76.43, 105.56 and 67.11 is: 92.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 105.56 = 67.11 : x
  2. Step 2: Convert to fraction form
    76.43/105.56 = 67.11/x
  3. Step 3: Cross multiply
    76.43x = 105.56 × 67.11
  4. Step 4: Simplify right side
    76.43x = 7,083.80
  5. Step 5: Solve for x
    x = 7,083.80/76.43
  6. Step 6: Final answer
    x = 92.69

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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.