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Finding the Fourth Proportional to 96.30, 132.99 and 82.40

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Solution

The fourth proportional to 96.30, 132.99 and 82.40 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 132.99 = 82.40 : x
  2. Step 2: Convert to fraction form
    96.30/132.99 = 82.40/x
  3. Step 3: Cross multiply
    96.30x = 132.99 × 82.40
  4. Step 4: Simplify right side
    96.30x = 10,958.59
  5. Step 5: Solve for x
    x = 10,958.59/96.30
  6. Step 6: Final answer
    x = 113.80

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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.