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Finding the Fourth Proportional to 54.82, 82.25 and 27.77

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Solution

The fourth proportional to 54.82, 82.25 and 27.77 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 82.25 = 27.77 : x
  2. Step 2: Convert to fraction form
    54.82/82.25 = 27.77/x
  3. Step 3: Cross multiply
    54.82x = 82.25 × 27.77
  4. Step 4: Simplify right side
    54.82x = 2,284.08
  5. Step 5: Solve for x
    x = 2,284.08/54.82
  6. Step 6: Final answer
    x = 41.67

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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.