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Finding the Fourth Proportional to 33.12, 49.73 and 27.09

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Solution

The fourth proportional to 33.12, 49.73 and 27.09 is: 40.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 49.73 = 27.09 : x
  2. Step 2: Convert to fraction form
    33.12/49.73 = 27.09/x
  3. Step 3: Cross multiply
    33.12x = 49.73 × 27.09
  4. Step 4: Simplify right side
    33.12x = 1,347.05
  5. Step 5: Solve for x
    x = 1,347.05/33.12
  6. Step 6: Final answer
    x = 40.67

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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.