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Finding the Fourth Proportional to 109.01, 163.22 and 96.73

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Solution

The fourth proportional to 109.01, 163.22 and 96.73 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.01 : 163.22 = 96.73 : x
  2. Step 2: Convert to fraction form
    109.01/163.22 = 96.73/x
  3. Step 3: Cross multiply
    109.01x = 163.22 × 96.73
  4. Step 4: Simplify right side
    109.01x = 15,787.38
  5. Step 5: Solve for x
    x = 15,787.38/109.01
  6. Step 6: Final answer
    x = 144.82

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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.