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Finding the Fourth Proportional to 132.77, 198.86 and 111.05

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Solution

The fourth proportional to 132.77, 198.86 and 111.05 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 198.86 = 111.05 : x
  2. Step 2: Convert to fraction form
    132.77/198.86 = 111.05/x
  3. Step 3: Cross multiply
    132.77x = 198.86 × 111.05
  4. Step 4: Simplify right side
    132.77x = 22,081.85
  5. Step 5: Solve for x
    x = 22,081.85/132.77
  6. Step 6: Final answer
    x = 166.32

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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.