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Finding the Fourth Proportional to 133.22, 199.89 and 109.34

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Solution

The fourth proportional to 133.22, 199.89 and 109.34 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 199.89 = 109.34 : x
  2. Step 2: Convert to fraction form
    133.22/199.89 = 109.34/x
  3. Step 3: Cross multiply
    133.22x = 199.89 × 109.34
  4. Step 4: Simplify right side
    133.22x = 21,855.97
  5. Step 5: Solve for x
    x = 21,855.97/133.22
  6. Step 6: Final answer
    x = 164.06

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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.