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Finding the Fourth Proportional to 54.21, 81.32 and 29.83

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Solution

The fourth proportional to 54.21, 81.32 and 29.83 is: 44.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.21 : 81.32 = 29.83 : x
  2. Step 2: Convert to fraction form
    54.21/81.32 = 29.83/x
  3. Step 3: Cross multiply
    54.21x = 81.32 × 29.83
  4. Step 4: Simplify right side
    54.21x = 2,425.37
  5. Step 5: Solve for x
    x = 2,425.37/54.21
  6. Step 6: Final answer
    x = 44.74

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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.