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Finding the Fourth Proportional to 161.87, 222.83 and 120.29

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Solution

The fourth proportional to 161.87, 222.83 and 120.29 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.87 : 222.83 = 120.29 : x
  2. Step 2: Convert to fraction form
    161.87/222.83 = 120.29/x
  3. Step 3: Cross multiply
    161.87x = 222.83 × 120.29
  4. Step 4: Simplify right side
    161.87x = 26,804.22
  5. Step 5: Solve for x
    x = 26,804.22/161.87
  6. Step 6: Final answer
    x = 165.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.