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Finding the Fourth Proportional to 38.03, 56.99 and 33.71

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Solution

The fourth proportional to 38.03, 56.99 and 33.71 is: 50.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.03 : 56.99 = 33.71 : x
  2. Step 2: Convert to fraction form
    38.03/56.99 = 33.71/x
  3. Step 3: Cross multiply
    38.03x = 56.99 × 33.71
  4. Step 4: Simplify right side
    38.03x = 1,920.68
  5. Step 5: Solve for x
    x = 1,920.68/38.03
  6. Step 6: Final answer
    x = 50.51

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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.