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Finding the Fourth Proportional to 96.84, 132.99 and 88.20

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Solution

The fourth proportional to 96.84, 132.99 and 88.20 is: 121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 132.99 = 88.20 : x
  2. Step 2: Convert to fraction form
    96.84/132.99 = 88.20/x
  3. Step 3: Cross multiply
    96.84x = 132.99 × 88.20
  4. Step 4: Simplify right side
    96.84x = 11,729.72
  5. Step 5: Solve for x
    x = 11,729.72/96.84
  6. Step 6: Final answer
    x = 121.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.