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Finding the Fourth Proportional to 44.67, 67.07 and 24.42

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Solution

The fourth proportional to 44.67, 67.07 and 24.42 is: 36.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.67 : 67.07 = 24.42 : x
  2. Step 2: Convert to fraction form
    44.67/67.07 = 24.42/x
  3. Step 3: Cross multiply
    44.67x = 67.07 × 24.42
  4. Step 4: Simplify right side
    44.67x = 1,637.85
  5. Step 5: Solve for x
    x = 1,637.85/44.67
  6. Step 6: Final answer
    x = 36.67

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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.