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Finding the Fourth Proportional to 161.53, 222.78 and 96.02

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Solution

The fourth proportional to 161.53, 222.78 and 96.02 is: 132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.53 : 222.78 = 96.02 : x
  2. Step 2: Convert to fraction form
    161.53/222.78 = 96.02/x
  3. Step 3: Cross multiply
    161.53x = 222.78 × 96.02
  4. Step 4: Simplify right side
    161.53x = 21,391.42
  5. Step 5: Solve for x
    x = 21,391.42/161.53
  6. Step 6: Final answer
    x = 132.43

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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.