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Finding the Fourth Proportional to 54.71, 82.05 and 24.30

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Solution

The fourth proportional to 54.71, 82.05 and 24.30 is: 36.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 82.05 = 24.30 : x
  2. Step 2: Convert to fraction form
    54.71/82.05 = 24.30/x
  3. Step 3: Cross multiply
    54.71x = 82.05 × 24.30
  4. Step 4: Simplify right side
    54.71x = 1,993.82
  5. Step 5: Solve for x
    x = 1,993.82/54.71
  6. Step 6: Final answer
    x = 36.44

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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.