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Finding the Fourth Proportional to 96.14, 132.54 and 82.33

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Solution

The fourth proportional to 96.14, 132.54 and 82.33 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 132.54 = 82.33 : x
  2. Step 2: Convert to fraction form
    96.14/132.54 = 82.33/x
  3. Step 3: Cross multiply
    96.14x = 132.54 × 82.33
  4. Step 4: Simplify right side
    96.14x = 10,912.02
  5. Step 5: Solve for x
    x = 10,912.02/96.14
  6. Step 6: Final answer
    x = 113.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.