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Finding the Fourth Proportional to 38.74, 57.96 and 33.02

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Solution

The fourth proportional to 38.74, 57.96 and 33.02 is: 49.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.74 : 57.96 = 33.02 : x
  2. Step 2: Convert to fraction form
    38.74/57.96 = 33.02/x
  3. Step 3: Cross multiply
    38.74x = 57.96 × 33.02
  4. Step 4: Simplify right side
    38.74x = 1,913.84
  5. Step 5: Solve for x
    x = 1,913.84/38.74
  6. Step 6: Final answer
    x = 49.40

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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.