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Finding the Fourth Proportional to 96.12, 132.75 and 83.34

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Solution

The fourth proportional to 96.12, 132.75 and 83.34 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.75 = 83.34 : x
  2. Step 2: Convert to fraction form
    96.12/132.75 = 83.34/x
  3. Step 3: Cross multiply
    96.12x = 132.75 × 83.34
  4. Step 4: Simplify right side
    96.12x = 11,063.39
  5. Step 5: Solve for x
    x = 11,063.39/96.12
  6. Step 6: Final answer
    x = 115.10

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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.