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Finding the Fourth Proportional to 57.82, 79.73 and 42.33

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Solution

The fourth proportional to 57.82, 79.73 and 42.33 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 79.73 = 42.33 : x
  2. Step 2: Convert to fraction form
    57.82/79.73 = 42.33/x
  3. Step 3: Cross multiply
    57.82x = 79.73 × 42.33
  4. Step 4: Simplify right side
    57.82x = 3,374.97
  5. Step 5: Solve for x
    x = 3,374.97/57.82
  6. Step 6: Final answer
    x = 58.37

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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.