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Finding the Fourth Proportional to 54.71, 82.06 and 31.87

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Solution

The fourth proportional to 54.71, 82.06 and 31.87 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 82.06 = 31.87 : x
  2. Step 2: Convert to fraction form
    54.71/82.06 = 31.87/x
  3. Step 3: Cross multiply
    54.71x = 82.06 × 31.87
  4. Step 4: Simplify right side
    54.71x = 2,615.25
  5. Step 5: Solve for x
    x = 2,615.25/54.71
  6. Step 6: Final answer
    x = 47.81

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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.