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Finding the Fourth Proportional to 80.10, 109.74 and 77.03

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Solution

The fourth proportional to 80.10, 109.74 and 77.03 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 109.74 = 77.03 : x
  2. Step 2: Convert to fraction form
    80.10/109.74 = 77.03/x
  3. Step 3: Cross multiply
    80.10x = 109.74 × 77.03
  4. Step 4: Simplify right side
    80.10x = 8,452.72
  5. Step 5: Solve for x
    x = 8,452.72/80.10
  6. Step 6: Final answer
    x = 105.53

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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.