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Finding the Fourth Proportional to 80.37, 109.94 and 80.06

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Solution

The fourth proportional to 80.37, 109.94 and 80.06 is: 109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.37 : 109.94 = 80.06 : x
  2. Step 2: Convert to fraction form
    80.37/109.94 = 80.06/x
  3. Step 3: Cross multiply
    80.37x = 109.94 × 80.06
  4. Step 4: Simplify right side
    80.37x = 8,800.85
  5. Step 5: Solve for x
    x = 8,800.85/80.37
  6. Step 6: Final answer
    x = 109.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.