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Finding the Fourth Proportional to 132.17, 197.84 and 109.25

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Solution

The fourth proportional to 132.17, 197.84 and 109.25 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.17 : 197.84 = 109.25 : x
  2. Step 2: Convert to fraction form
    132.17/197.84 = 109.25/x
  3. Step 3: Cross multiply
    132.17x = 197.84 × 109.25
  4. Step 4: Simplify right side
    132.17x = 21,614.05
  5. Step 5: Solve for x
    x = 21,614.05/132.17
  6. Step 6: Final answer
    x = 163.54

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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.