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Finding the Fourth Proportional to 54.44, 75.20 and 49.26

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Solution

The fourth proportional to 54.44, 75.20 and 49.26 is: 68.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.44 : 75.20 = 49.26 : x
  2. Step 2: Convert to fraction form
    54.44/75.20 = 49.26/x
  3. Step 3: Cross multiply
    54.44x = 75.20 × 49.26
  4. Step 4: Simplify right side
    54.44x = 3,704.11
  5. Step 5: Solve for x
    x = 3,704.11/54.44
  6. Step 6: Final answer
    x = 68.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.