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Finding the Fourth Proportional to 57.22, 85.83 and 14.47

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Solution

The fourth proportional to 57.22, 85.83 and 14.47 is: 21.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.22 : 85.83 = 14.47 : x
  2. Step 2: Convert to fraction form
    57.22/85.83 = 14.47/x
  3. Step 3: Cross multiply
    57.22x = 85.83 × 14.47
  4. Step 4: Simplify right side
    57.22x = 1,241.96
  5. Step 5: Solve for x
    x = 1,241.96/57.22
  6. Step 6: Final answer
    x = 21.71

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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.