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Finding the Fourth Proportional to 37.81, 52.18 and 20.56

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Solution

The fourth proportional to 37.81, 52.18 and 20.56 is: 28.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.81 : 52.18 = 20.56 : x
  2. Step 2: Convert to fraction form
    37.81/52.18 = 20.56/x
  3. Step 3: Cross multiply
    37.81x = 52.18 × 20.56
  4. Step 4: Simplify right side
    37.81x = 1,073.00
  5. Step 5: Solve for x
    x = 1,073.00/37.81
  6. Step 6: Final answer
    x = 28.38

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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.