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Finding the Fourth Proportional to 80.45, 120.73 and 75.49

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Solution

The fourth proportional to 80.45, 120.73 and 75.49 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.45 : 120.73 = 75.49 : x
  2. Step 2: Convert to fraction form
    80.45/120.73 = 75.49/x
  3. Step 3: Cross multiply
    80.45x = 120.73 × 75.49
  4. Step 4: Simplify right side
    80.45x = 9,112.93
  5. Step 5: Solve for x
    x = 9,112.93/80.45
  6. Step 6: Final answer
    x = 113.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.