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Finding the Fourth Proportional to 133.72, 200.82 and 109.72

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Solution

The fourth proportional to 133.72, 200.82 and 109.72 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.72 : 200.82 = 109.72 : x
  2. Step 2: Convert to fraction form
    133.72/200.82 = 109.72/x
  3. Step 3: Cross multiply
    133.72x = 200.82 × 109.72
  4. Step 4: Simplify right side
    133.72x = 22,033.97
  5. Step 5: Solve for x
    x = 22,033.97/133.72
  6. Step 6: Final answer
    x = 164.78

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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.