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Finding the Fourth Proportional to 80.81, 120.51 and 80.08

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Solution

The fourth proportional to 80.81, 120.51 and 80.08 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 120.51 = 80.08 : x
  2. Step 2: Convert to fraction form
    80.81/120.51 = 80.08/x
  3. Step 3: Cross multiply
    80.81x = 120.51 × 80.08
  4. Step 4: Simplify right side
    80.81x = 9,649.74
  5. Step 5: Solve for x
    x = 9,649.74/80.81
  6. Step 6: Final answer
    x = 119.41

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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.