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Finding the Fourth Proportional to 132.96, 198.60 and 111.15

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Solution

The fourth proportional to 132.96, 198.60 and 111.15 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 198.60 = 111.15 : x
  2. Step 2: Convert to fraction form
    132.96/198.60 = 111.15/x
  3. Step 3: Cross multiply
    132.96x = 198.60 × 111.15
  4. Step 4: Simplify right side
    132.96x = 22,074.39
  5. Step 5: Solve for x
    x = 22,074.39/132.96
  6. Step 6: Final answer
    x = 166.02

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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.