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Finding the Fourth Proportional to 132.49, 197.83 and 112.21

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Solution

The fourth proportional to 132.49, 197.83 and 112.21 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 197.83 = 112.21 : x
  2. Step 2: Convert to fraction form
    132.49/197.83 = 112.21/x
  3. Step 3: Cross multiply
    132.49x = 197.83 × 112.21
  4. Step 4: Simplify right side
    132.49x = 22,198.50
  5. Step 5: Solve for x
    x = 22,198.50/132.49
  6. Step 6: Final answer
    x = 167.55

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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.