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Finding the Fourth Proportional to 132.03, 197.71 and 109.28

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Solution

The fourth proportional to 132.03, 197.71 and 109.28 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.03 : 197.71 = 109.28 : x
  2. Step 2: Convert to fraction form
    132.03/197.71 = 109.28/x
  3. Step 3: Cross multiply
    132.03x = 197.71 × 109.28
  4. Step 4: Simplify right side
    132.03x = 21,605.97
  5. Step 5: Solve for x
    x = 21,605.97/132.03
  6. Step 6: Final answer
    x = 163.64

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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.