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Finding the Fourth Proportional to 37.56, 56.22 and 28.97

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Solution

The fourth proportional to 37.56, 56.22 and 28.97 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.56 : 56.22 = 28.97 : x
  2. Step 2: Convert to fraction form
    37.56/56.22 = 28.97/x
  3. Step 3: Cross multiply
    37.56x = 56.22 × 28.97
  4. Step 4: Simplify right side
    37.56x = 1,628.69
  5. Step 5: Solve for x
    x = 1,628.69/37.56
  6. Step 6: Final answer
    x = 43.37

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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.