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Finding the Fourth Proportional to 133.29, 200.01 and 109.20

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Solution

The fourth proportional to 133.29, 200.01 and 109.20 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.29 : 200.01 = 109.20 : x
  2. Step 2: Convert to fraction form
    133.29/200.01 = 109.20/x
  3. Step 3: Cross multiply
    133.29x = 200.01 × 109.20
  4. Step 4: Simplify right side
    133.29x = 21,841.09
  5. Step 5: Solve for x
    x = 21,841.09/133.29
  6. Step 6: Final answer
    x = 163.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.