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Finding the Fourth Proportional to 161.64, 242.42 and 106.96

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Solution

The fourth proportional to 161.64, 242.42 and 106.96 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.64 : 242.42 = 106.96 : x
  2. Step 2: Convert to fraction form
    161.64/242.42 = 106.96/x
  3. Step 3: Cross multiply
    161.64x = 242.42 × 106.96
  4. Step 4: Simplify right side
    161.64x = 25,929.24
  5. Step 5: Solve for x
    x = 25,929.24/161.64
  6. Step 6: Final answer
    x = 160.41

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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.