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Finding the Fourth Proportional to 57.22, 78.94 and 40.82

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Solution

The fourth proportional to 57.22, 78.94 and 40.82 is: 56.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.22 : 78.94 = 40.82 : x
  2. Step 2: Convert to fraction form
    57.22/78.94 = 40.82/x
  3. Step 3: Cross multiply
    57.22x = 78.94 × 40.82
  4. Step 4: Simplify right side
    57.22x = 3,221.93
  5. Step 5: Solve for x
    x = 3,221.93/57.22
  6. Step 6: Final answer
    x = 56.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.