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Finding the Fourth Proportional to 133.60, 199.43 and 116.38

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Solution

The fourth proportional to 133.60, 199.43 and 116.38 is: 173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.60 : 199.43 = 116.38 : x
  2. Step 2: Convert to fraction form
    133.60/199.43 = 116.38/x
  3. Step 3: Cross multiply
    133.60x = 199.43 × 116.38
  4. Step 4: Simplify right side
    133.60x = 23,209.66
  5. Step 5: Solve for x
    x = 23,209.66/133.60
  6. Step 6: Final answer
    x = 173.73

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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.