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Finding the Fourth Proportional to 37.81, 56.85 and 19.81

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Solution

The fourth proportional to 37.81, 56.85 and 19.81 is: 29.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.81 : 56.85 = 19.81 : x
  2. Step 2: Convert to fraction form
    37.81/56.85 = 19.81/x
  3. Step 3: Cross multiply
    37.81x = 56.85 × 19.81
  4. Step 4: Simplify right side
    37.81x = 1,126.20
  5. Step 5: Solve for x
    x = 1,126.20/37.81
  6. Step 6: Final answer
    x = 29.79

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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.