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Finding the Fourth Proportional to 120.56, 179.96 and 112.12

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Solution

The fourth proportional to 120.56, 179.96 and 112.12 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 179.96 = 112.12 : x
  2. Step 2: Convert to fraction form
    120.56/179.96 = 112.12/x
  3. Step 3: Cross multiply
    120.56x = 179.96 × 112.12
  4. Step 4: Simplify right side
    120.56x = 20,176.74
  5. Step 5: Solve for x
    x = 20,176.74/120.56
  6. Step 6: Final answer
    x = 167.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.