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Finding the Fourth Proportional to 38.56, 57.77 and 21.38

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Solution

The fourth proportional to 38.56, 57.77 and 21.38 is: 32.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.56 : 57.77 = 21.38 : x
  2. Step 2: Convert to fraction form
    38.56/57.77 = 21.38/x
  3. Step 3: Cross multiply
    38.56x = 57.77 × 21.38
  4. Step 4: Simplify right side
    38.56x = 1,235.02
  5. Step 5: Solve for x
    x = 1,235.02/38.56
  6. Step 6: Final answer
    x = 32.03

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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.