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Finding the Fourth Proportional to 54.71, 82.08 and 27.64

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Solution

The fourth proportional to 54.71, 82.08 and 27.64 is: 41.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 82.08 = 27.64 : x
  2. Step 2: Convert to fraction form
    54.71/82.08 = 27.64/x
  3. Step 3: Cross multiply
    54.71x = 82.08 × 27.64
  4. Step 4: Simplify right side
    54.71x = 2,268.79
  5. Step 5: Solve for x
    x = 2,268.79/54.71
  6. Step 6: Final answer
    x = 41.47

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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.