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Finding the Fourth Proportional to 132.21, 198.06 and 106.43

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Solution

The fourth proportional to 132.21, 198.06 and 106.43 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 198.06 = 106.43 : x
  2. Step 2: Convert to fraction form
    132.21/198.06 = 106.43/x
  3. Step 3: Cross multiply
    132.21x = 198.06 × 106.43
  4. Step 4: Simplify right side
    132.21x = 21,078.54
  5. Step 5: Solve for x
    x = 21,078.54/132.21
  6. Step 6: Final answer
    x = 159.43

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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.