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Finding the Fourth Proportional to 95.77, 142.97 and 82

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Solution

The fourth proportional to 95.77, 142.97 and 82 is: 122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 142.97 = 82 : x
  2. Step 2: Convert to fraction form
    95.77/142.97 = 82/x
  3. Step 3: Cross multiply
    95.77x = 142.97 × 82
  4. Step 4: Simplify right side
    95.77x = 11,723.54
  5. Step 5: Solve for x
    x = 11,723.54/95.77
  6. Step 6: Final answer
    x = 122.41

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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.