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Finding the Fourth Proportional to 80.94, 120.73 and 68.18

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Solution

The fourth proportional to 80.94, 120.73 and 68.18 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.94 : 120.73 = 68.18 : x
  2. Step 2: Convert to fraction form
    80.94/120.73 = 68.18/x
  3. Step 3: Cross multiply
    80.94x = 120.73 × 68.18
  4. Step 4: Simplify right side
    80.94x = 8,231.03
  5. Step 5: Solve for x
    x = 8,231.03/80.94
  6. Step 6: Final answer
    x = 101.69

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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.