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Finding the Fourth Proportional to 49.45, 74.25 and 49.09

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Solution

The fourth proportional to 49.45, 74.25 and 49.09 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 74.25 = 49.09 : x
  2. Step 2: Convert to fraction form
    49.45/74.25 = 49.09/x
  3. Step 3: Cross multiply
    49.45x = 74.25 × 49.09
  4. Step 4: Simplify right side
    49.45x = 3,644.93
  5. Step 5: Solve for x
    x = 3,644.93/49.45
  6. Step 6: Final answer
    x = 73.71

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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.