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Finding the Fourth Proportional to 80.53, 120.69 and 43.99

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Solution

The fourth proportional to 80.53, 120.69 and 43.99 is: 65.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 120.69 = 43.99 : x
  2. Step 2: Convert to fraction form
    80.53/120.69 = 43.99/x
  3. Step 3: Cross multiply
    80.53x = 120.69 × 43.99
  4. Step 4: Simplify right side
    80.53x = 5,309.02
  5. Step 5: Solve for x
    x = 5,309.02/80.53
  6. Step 6: Final answer
    x = 65.92

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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.