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Finding the Fourth Proportional to 37.56, 56.34 and 16.19

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Solution

The fourth proportional to 37.56, 56.34 and 16.19 is: 24.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.56 : 56.34 = 16.19 : x
  2. Step 2: Convert to fraction form
    37.56/56.34 = 16.19/x
  3. Step 3: Cross multiply
    37.56x = 56.34 × 16.19
  4. Step 4: Simplify right side
    37.56x = 912.14
  5. Step 5: Solve for x
    x = 912.14/37.56
  6. Step 6: Final answer
    x = 24.29

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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.