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Finding the Fourth Proportional to 112.74, 168.81 and 80.52

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Solution

The fourth proportional to 112.74, 168.81 and 80.52 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.74 : 168.81 = 80.52 : x
  2. Step 2: Convert to fraction form
    112.74/168.81 = 80.52/x
  3. Step 3: Cross multiply
    112.74x = 168.81 × 80.52
  4. Step 4: Simplify right side
    112.74x = 13,592.58
  5. Step 5: Solve for x
    x = 13,592.58/112.74
  6. Step 6: Final answer
    x = 120.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.