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Finding the Fourth Proportional to 54.50, 81.74 and 20.24

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Solution

The fourth proportional to 54.50, 81.74 and 20.24 is: 30.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 81.74 = 20.24 : x
  2. Step 2: Convert to fraction form
    54.50/81.74 = 20.24/x
  3. Step 3: Cross multiply
    54.50x = 81.74 × 20.24
  4. Step 4: Simplify right side
    54.50x = 1,653.91
  5. Step 5: Solve for x
    x = 1,653.91/54.50
  6. Step 6: Final answer
    x = 30.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.