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Finding the Fourth Proportional to 132.26, 197.46 and 109.49

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Solution

The fourth proportional to 132.26, 197.46 and 109.49 is: 163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.26 : 197.46 = 109.49 : x
  2. Step 2: Convert to fraction form
    132.26/197.46 = 109.49/x
  3. Step 3: Cross multiply
    132.26x = 197.46 × 109.49
  4. Step 4: Simplify right side
    132.26x = 21,618.91
  5. Step 5: Solve for x
    x = 21,618.91/132.26
  6. Step 6: Final answer
    x = 163.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.