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Finding the Fourth Proportional to 54.86, 82.28 and 20.15

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Solution

The fourth proportional to 54.86, 82.28 and 20.15 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.28 = 20.15 : x
  2. Step 2: Convert to fraction form
    54.86/82.28 = 20.15/x
  3. Step 3: Cross multiply
    54.86x = 82.28 × 20.15
  4. Step 4: Simplify right side
    54.86x = 1,658.02
  5. Step 5: Solve for x
    x = 1,658.02/54.86
  6. Step 6: Final answer
    x = 30.22

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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.