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Finding the Fourth Proportional to 132.10, 198.29 and 106.72

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Solution

The fourth proportional to 132.10, 198.29 and 106.72 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 198.29 = 106.72 : x
  2. Step 2: Convert to fraction form
    132.10/198.29 = 106.72/x
  3. Step 3: Cross multiply
    132.10x = 198.29 × 106.72
  4. Step 4: Simplify right side
    132.10x = 21,161.28
  5. Step 5: Solve for x
    x = 21,161.28/132.10
  6. Step 6: Final answer
    x = 160.19

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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.