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Finding the Fourth Proportional to 54.50, 81.73 and 31.37

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Solution

The fourth proportional to 54.50, 81.73 and 31.37 is: 47.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 81.73 = 31.37 : x
  2. Step 2: Convert to fraction form
    54.50/81.73 = 31.37/x
  3. Step 3: Cross multiply
    54.50x = 81.73 × 31.37
  4. Step 4: Simplify right side
    54.50x = 2,563.38
  5. Step 5: Solve for x
    x = 2,563.38/54.50
  6. Step 6: Final answer
    x = 47.04

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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.