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Finding the Fourth Proportional to 38.10, 57.14 and 20.05

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Solution

The fourth proportional to 38.10, 57.14 and 20.05 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.10 : 57.14 = 20.05 : x
  2. Step 2: Convert to fraction form
    38.10/57.14 = 20.05/x
  3. Step 3: Cross multiply
    38.10x = 57.14 × 20.05
  4. Step 4: Simplify right side
    38.10x = 1,145.49
  5. Step 5: Solve for x
    x = 1,145.49/38.10
  6. Step 6: Final answer
    x = 30.06

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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.