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Finding the Fourth Proportional to 54.30, 81.27 and 31.41

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Solution

The fourth proportional to 54.30, 81.27 and 31.41 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 81.27 = 31.41 : x
  2. Step 2: Convert to fraction form
    54.30/81.27 = 31.41/x
  3. Step 3: Cross multiply
    54.30x = 81.27 × 31.41
  4. Step 4: Simplify right side
    54.30x = 2,552.69
  5. Step 5: Solve for x
    x = 2,552.69/54.30
  6. Step 6: Final answer
    x = 47.01

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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.