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Finding the Fourth Proportional to 161.32, 242.00 and 106.83

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Solution

The fourth proportional to 161.32, 242.00 and 106.83 is: 160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.32 : 242.00 = 106.83 : x
  2. Step 2: Convert to fraction form
    161.32/242.00 = 106.83/x
  3. Step 3: Cross multiply
    161.32x = 242.00 × 106.83
  4. Step 4: Simplify right side
    161.32x = 25,852.68
  5. Step 5: Solve for x
    x = 25,852.68/161.32
  6. Step 6: Final answer
    x = 160.26

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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.