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Finding the Fourth Proportional to 96.45, 132.33 and 88.29

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Solution

The fourth proportional to 96.45, 132.33 and 88.29 is: 121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 132.33 = 88.29 : x
  2. Step 2: Convert to fraction form
    96.45/132.33 = 88.29/x
  3. Step 3: Cross multiply
    96.45x = 132.33 × 88.29
  4. Step 4: Simplify right side
    96.45x = 11,683.42
  5. Step 5: Solve for x
    x = 11,683.42/96.45
  6. Step 6: Final answer
    x = 121.13

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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.