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Finding the Fourth Proportional to 44.85, 67.30 and 24.57

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Solution

The fourth proportional to 44.85, 67.30 and 24.57 is: 36.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.85 : 67.30 = 24.57 : x
  2. Step 2: Convert to fraction form
    44.85/67.30 = 24.57/x
  3. Step 3: Cross multiply
    44.85x = 67.30 × 24.57
  4. Step 4: Simplify right side
    44.85x = 1,653.56
  5. Step 5: Solve for x
    x = 1,653.56/44.85
  6. Step 6: Final answer
    x = 36.87

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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.