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Finding the Fourth Proportional to 80.81, 121.20 and 23.02

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Solution

The fourth proportional to 80.81, 121.20 and 23.02 is: 34.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 121.20 = 23.02 : x
  2. Step 2: Convert to fraction form
    80.81/121.20 = 23.02/x
  3. Step 3: Cross multiply
    80.81x = 121.20 × 23.02
  4. Step 4: Simplify right side
    80.81x = 2,790.45
  5. Step 5: Solve for x
    x = 2,790.45/80.81
  6. Step 6: Final answer
    x = 34.53

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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.