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Finding the Fourth Proportional to 38, 52.38 and 33.14

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Solution

The fourth proportional to 38, 52.38 and 33.14 is: 45.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 52.38 = 33.14 : x
  2. Step 2: Convert to fraction form
    38/52.38 = 33.14/x
  3. Step 3: Cross multiply
    38x = 52.38 × 33.14
  4. Step 4: Simplify right side
    38x = 1,735.87
  5. Step 5: Solve for x
    x = 1,735.87/38
  6. Step 6: Final answer
    x = 45.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.