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Finding the Fourth Proportional to 54.24, 74.79 and 48.44

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Solution

The fourth proportional to 54.24, 74.79 and 48.44 is: 66.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.24 : 74.79 = 48.44 : x
  2. Step 2: Convert to fraction form
    54.24/74.79 = 48.44/x
  3. Step 3: Cross multiply
    54.24x = 74.79 × 48.44
  4. Step 4: Simplify right side
    54.24x = 3,622.45
  5. Step 5: Solve for x
    x = 3,622.45/54.24
  6. Step 6: Final answer
    x = 66.79

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