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Finding the Fourth Proportional to 133.11, 198.69 and 116.91

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Solution

The fourth proportional to 133.11, 198.69 and 116.91 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.11 : 198.69 = 116.91 : x
  2. Step 2: Convert to fraction form
    133.11/198.69 = 116.91/x
  3. Step 3: Cross multiply
    133.11x = 198.69 × 116.91
  4. Step 4: Simplify right side
    133.11x = 23,228.85
  5. Step 5: Solve for x
    x = 23,228.85/133.11
  6. Step 6: Final answer
    x = 174.51

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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.