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Finding the Fourth Proportional to 121.62, 182.28 and 49.41

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Solution

The fourth proportional to 121.62, 182.28 and 49.41 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.62 : 182.28 = 49.41 : x
  2. Step 2: Convert to fraction form
    121.62/182.28 = 49.41/x
  3. Step 3: Cross multiply
    121.62x = 182.28 × 49.41
  4. Step 4: Simplify right side
    121.62x = 9,006.45
  5. Step 5: Solve for x
    x = 9,006.45/121.62
  6. Step 6: Final answer
    x = 74.05

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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.