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Finding the Fourth Proportional to 69.24, 95.96 and 68.20

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Solution

The fourth proportional to 69.24, 95.96 and 68.20 is: 94.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 95.96 = 68.20 : x
  2. Step 2: Convert to fraction form
    69.24/95.96 = 68.20/x
  3. Step 3: Cross multiply
    69.24x = 95.96 × 68.20
  4. Step 4: Simplify right side
    69.24x = 6,544.47
  5. Step 5: Solve for x
    x = 6,544.47/69.24
  6. Step 6: Final answer
    x = 94.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.