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Finding the Fourth Proportional to 120.70, 167.72 and 120.22

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Solution

The fourth proportional to 120.70, 167.72 and 120.22 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.70 : 167.72 = 120.22 : x
  2. Step 2: Convert to fraction form
    120.70/167.72 = 120.22/x
  3. Step 3: Cross multiply
    120.70x = 167.72 × 120.22
  4. Step 4: Simplify right side
    120.70x = 20,163.30
  5. Step 5: Solve for x
    x = 20,163.30/120.70
  6. Step 6: Final answer
    x = 167.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.