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Finding the Fourth Proportional to 161.75, 242.24 and 106.88

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Solution

The fourth proportional to 161.75, 242.24 and 106.88 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 242.24 = 106.88 : x
  2. Step 2: Convert to fraction form
    161.75/242.24 = 106.88/x
  3. Step 3: Cross multiply
    161.75x = 242.24 × 106.88
  4. Step 4: Simplify right side
    161.75x = 25,888.87
  5. Step 5: Solve for x
    x = 25,888.87/161.75
  6. Step 6: Final answer
    x = 160.05

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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.