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Finding the Fourth Proportional to 95.78, 132.07 and 68.10

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Solution

The fourth proportional to 95.78, 132.07 and 68.10 is: 93.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.78 : 132.07 = 68.10 : x
  2. Step 2: Convert to fraction form
    95.78/132.07 = 68.10/x
  3. Step 3: Cross multiply
    95.78x = 132.07 × 68.10
  4. Step 4: Simplify right side
    95.78x = 8,993.97
  5. Step 5: Solve for x
    x = 8,993.97/95.78
  6. Step 6: Final answer
    x = 93.90

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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.