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Finding the Fourth Proportional to 57.23, 78.96 and 35.42

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Solution

The fourth proportional to 57.23, 78.96 and 35.42 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.23 : 78.96 = 35.42 : x
  2. Step 2: Convert to fraction form
    57.23/78.96 = 35.42/x
  3. Step 3: Cross multiply
    57.23x = 78.96 × 35.42
  4. Step 4: Simplify right side
    57.23x = 2,796.37
  5. Step 5: Solve for x
    x = 2,796.37/57.23
  6. Step 6: Final answer
    x = 48.86

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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.