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Finding the Fourth Proportional to 132.05, 197.86 and 80.54

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Solution

The fourth proportional to 132.05, 197.86 and 80.54 is: 120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 197.86 = 80.54 : x
  2. Step 2: Convert to fraction form
    132.05/197.86 = 80.54/x
  3. Step 3: Cross multiply
    132.05x = 197.86 × 80.54
  4. Step 4: Simplify right side
    132.05x = 15,934.45
  5. Step 5: Solve for x
    x = 15,934.45/132.05
  6. Step 6: Final answer
    x = 120.67

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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.