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Finding the Fourth Proportional to 80.48, 111.03 and 51.37

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Solution

The fourth proportional to 80.48, 111.03 and 51.37 is: 70.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 111.03 = 51.37 : x
  2. Step 2: Convert to fraction form
    80.48/111.03 = 51.37/x
  3. Step 3: Cross multiply
    80.48x = 111.03 × 51.37
  4. Step 4: Simplify right side
    80.48x = 5,703.61
  5. Step 5: Solve for x
    x = 5,703.61/80.48
  6. Step 6: Final answer
    x = 70.87

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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.