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Finding the Fourth Proportional to 161.06, 241.65 and 106.92

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Solution

The fourth proportional to 161.06, 241.65 and 106.92 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 241.65 = 106.92 : x
  2. Step 2: Convert to fraction form
    161.06/241.65 = 106.92/x
  3. Step 3: Cross multiply
    161.06x = 241.65 × 106.92
  4. Step 4: Simplify right side
    161.06x = 25,837.22
  5. Step 5: Solve for x
    x = 25,837.22/161.06
  6. Step 6: Final answer
    x = 160.42

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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.