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Finding the Fourth Proportional to 80.37, 110.84 and 52.73

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Solution

The fourth proportional to 80.37, 110.84 and 52.73 is: 72.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.37 : 110.84 = 52.73 : x
  2. Step 2: Convert to fraction form
    80.37/110.84 = 52.73/x
  3. Step 3: Cross multiply
    80.37x = 110.84 × 52.73
  4. Step 4: Simplify right side
    80.37x = 5,844.59
  5. Step 5: Solve for x
    x = 5,844.59/80.37
  6. Step 6: Final answer
    x = 72.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.