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Finding the Fourth Proportional to 161.16, 241.46 and 96.09

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Solution

The fourth proportional to 161.16, 241.46 and 96.09 is: 143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 241.46 = 96.09 : x
  2. Step 2: Convert to fraction form
    161.16/241.46 = 96.09/x
  3. Step 3: Cross multiply
    161.16x = 241.46 × 96.09
  4. Step 4: Simplify right side
    161.16x = 23,201.89
  5. Step 5: Solve for x
    x = 23,201.89/161.16
  6. Step 6: Final answer
    x = 143.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.