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Finding the Fourth Proportional to 132.99, 198.60 and 113.52

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Solution

The fourth proportional to 132.99, 198.60 and 113.52 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.99 : 198.60 = 113.52 : x
  2. Step 2: Convert to fraction form
    132.99/198.60 = 113.52/x
  3. Step 3: Cross multiply
    132.99x = 198.60 × 113.52
  4. Step 4: Simplify right side
    132.99x = 22,545.39
  5. Step 5: Solve for x
    x = 22,545.39/132.99
  6. Step 6: Final answer
    x = 169.53

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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.