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Finding the Fourth Proportional to 54.80, 82.13 and 24.34

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Solution

The fourth proportional to 54.80, 82.13 and 24.34 is: 36.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.80 : 82.13 = 24.34 : x
  2. Step 2: Convert to fraction form
    54.80/82.13 = 24.34/x
  3. Step 3: Cross multiply
    54.80x = 82.13 × 24.34
  4. Step 4: Simplify right side
    54.80x = 1,998.72
  5. Step 5: Solve for x
    x = 1,998.72/54.80
  6. Step 6: Final answer
    x = 36.47

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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.