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Finding the Fourth Proportional to 133.57, 199.11 and 132.13

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Solution

The fourth proportional to 133.57, 199.11 and 132.13 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.57 : 199.11 = 132.13 : x
  2. Step 2: Convert to fraction form
    133.57/199.11 = 132.13/x
  3. Step 3: Cross multiply
    133.57x = 199.11 × 132.13
  4. Step 4: Simplify right side
    133.57x = 26,308.07
  5. Step 5: Solve for x
    x = 26,308.07/133.57
  6. Step 6: Final answer
    x = 196.96

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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.