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Finding the Fourth Proportional to 54.21, 81.31 and 23.77

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Solution

The fourth proportional to 54.21, 81.31 and 23.77 is: 35.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.21 : 81.31 = 23.77 : x
  2. Step 2: Convert to fraction form
    54.21/81.31 = 23.77/x
  3. Step 3: Cross multiply
    54.21x = 81.31 × 23.77
  4. Step 4: Simplify right side
    54.21x = 1,932.74
  5. Step 5: Solve for x
    x = 1,932.74/54.21
  6. Step 6: Final answer
    x = 35.65

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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.