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Finding the Fourth Proportional to 69.45, 96.29 and 67.83

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Solution

The fourth proportional to 69.45, 96.29 and 67.83 is: 94.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.45 : 96.29 = 67.83 : x
  2. Step 2: Convert to fraction form
    69.45/96.29 = 67.83/x
  3. Step 3: Cross multiply
    69.45x = 96.29 × 67.83
  4. Step 4: Simplify right side
    69.45x = 6,531.01
  5. Step 5: Solve for x
    x = 6,531.01/69.45
  6. Step 6: Final answer
    x = 94.04

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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.