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Finding the Fourth Proportional to 80.07, 119.39 and 68.46

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Solution

The fourth proportional to 80.07, 119.39 and 68.46 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 119.39 = 68.46 : x
  2. Step 2: Convert to fraction form
    80.07/119.39 = 68.46/x
  3. Step 3: Cross multiply
    80.07x = 119.39 × 68.46
  4. Step 4: Simplify right side
    80.07x = 8,173.44
  5. Step 5: Solve for x
    x = 8,173.44/80.07
  6. Step 6: Final answer
    x = 102.08

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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.