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Finding the Fourth Proportional to 38.67, 57.84 and 34.08

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Solution

The fourth proportional to 38.67, 57.84 and 34.08 is: 50.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.67 : 57.84 = 34.08 : x
  2. Step 2: Convert to fraction form
    38.67/57.84 = 34.08/x
  3. Step 3: Cross multiply
    38.67x = 57.84 × 34.08
  4. Step 4: Simplify right side
    38.67x = 1,971.19
  5. Step 5: Solve for x
    x = 1,971.19/38.67
  6. Step 6: Final answer
    x = 50.97

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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.