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Finding the Fourth Proportional to 37.61, 56.42 and 11.22

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Solution

The fourth proportional to 37.61, 56.42 and 11.22 is: 16.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.61 : 56.42 = 11.22 : x
  2. Step 2: Convert to fraction form
    37.61/56.42 = 11.22/x
  3. Step 3: Cross multiply
    37.61x = 56.42 × 11.22
  4. Step 4: Simplify right side
    37.61x = 633.03
  5. Step 5: Solve for x
    x = 633.03/37.61
  6. Step 6: Final answer
    x = 16.83

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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.