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Finding the Fourth Proportional to 49.26, 73.90 and 40.22

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Solution

The fourth proportional to 49.26, 73.90 and 40.22 is: 60.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.26 : 73.90 = 40.22 : x
  2. Step 2: Convert to fraction form
    49.26/73.90 = 40.22/x
  3. Step 3: Cross multiply
    49.26x = 73.90 × 40.22
  4. Step 4: Simplify right side
    49.26x = 2,972.26
  5. Step 5: Solve for x
    x = 2,972.26/49.26
  6. Step 6: Final answer
    x = 60.34

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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.