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Finding the Fourth Proportional to 37.86, 56.81 and 20.76

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Solution

The fourth proportional to 37.86, 56.81 and 20.76 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.86 : 56.81 = 20.76 : x
  2. Step 2: Convert to fraction form
    37.86/56.81 = 20.76/x
  3. Step 3: Cross multiply
    37.86x = 56.81 × 20.76
  4. Step 4: Simplify right side
    37.86x = 1,179.38
  5. Step 5: Solve for x
    x = 1,179.38/37.86
  6. Step 6: Final answer
    x = 31.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.