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Finding the Fourth Proportional to 54.76, 82.14 and 18.19

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Solution

The fourth proportional to 54.76, 82.14 and 18.19 is: 27.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.14 = 18.19 : x
  2. Step 2: Convert to fraction form
    54.76/82.14 = 18.19/x
  3. Step 3: Cross multiply
    54.76x = 82.14 × 18.19
  4. Step 4: Simplify right side
    54.76x = 1,493.81
  5. Step 5: Solve for x
    x = 1,493.81/54.76
  6. Step 6: Final answer
    x = 27.28

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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.