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Finding the Fourth Proportional to 95.99, 132.32 and 82.82

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Solution

The fourth proportional to 95.99, 132.32 and 82.82 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.99 : 132.32 = 82.82 : x
  2. Step 2: Convert to fraction form
    95.99/132.32 = 82.82/x
  3. Step 3: Cross multiply
    95.99x = 132.32 × 82.82
  4. Step 4: Simplify right side
    95.99x = 10,958.54
  5. Step 5: Solve for x
    x = 10,958.54/95.99
  6. Step 6: Final answer
    x = 114.16

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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.