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Finding the Fourth Proportional to 38.64, 57.94 and 20.35

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Solution

The fourth proportional to 38.64, 57.94 and 20.35 is: 30.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 57.94 = 20.35 : x
  2. Step 2: Convert to fraction form
    38.64/57.94 = 20.35/x
  3. Step 3: Cross multiply
    38.64x = 57.94 × 20.35
  4. Step 4: Simplify right side
    38.64x = 1,179.08
  5. Step 5: Solve for x
    x = 1,179.08/38.64
  6. Step 6: Final answer
    x = 30.51

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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.