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Finding the Fourth Proportional to 76.75, 115.54 and 66.82

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Solution

The fourth proportional to 76.75, 115.54 and 66.82 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 115.54 = 66.82 : x
  2. Step 2: Convert to fraction form
    76.75/115.54 = 66.82/x
  3. Step 3: Cross multiply
    76.75x = 115.54 × 66.82
  4. Step 4: Simplify right side
    76.75x = 7,720.38
  5. Step 5: Solve for x
    x = 7,720.38/76.75
  6. Step 6: Final answer
    x = 100.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.