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Finding the Fourth Proportional to 133.26, 198.96 and 107.48

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Solution

The fourth proportional to 133.26, 198.96 and 107.48 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 198.96 = 107.48 : x
  2. Step 2: Convert to fraction form
    133.26/198.96 = 107.48/x
  3. Step 3: Cross multiply
    133.26x = 198.96 × 107.48
  4. Step 4: Simplify right side
    133.26x = 21,383.68
  5. Step 5: Solve for x
    x = 21,383.68/133.26
  6. Step 6: Final answer
    x = 160.47

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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.