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Finding the Fourth Proportional to 54.57, 81.75 and 31.72

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Solution

The fourth proportional to 54.57, 81.75 and 31.72 is: 47.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.57 : 81.75 = 31.72 : x
  2. Step 2: Convert to fraction form
    54.57/81.75 = 31.72/x
  3. Step 3: Cross multiply
    54.57x = 81.75 × 31.72
  4. Step 4: Simplify right side
    54.57x = 2,593.11
  5. Step 5: Solve for x
    x = 2,593.11/54.57
  6. Step 6: Final answer
    x = 47.52

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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.