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Finding the Fourth Proportional to 95.82, 132.27 and 57

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Solution

The fourth proportional to 95.82, 132.27 and 57 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 132.27 = 57 : x
  2. Step 2: Convert to fraction form
    95.82/132.27 = 57/x
  3. Step 3: Cross multiply
    95.82x = 132.27 × 57
  4. Step 4: Simplify right side
    95.82x = 7,539.39
  5. Step 5: Solve for x
    x = 7,539.39/95.82
  6. Step 6: Final answer
    x = 78.68

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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.