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Finding the Fourth Proportional to 54.31, 81.26 and 45.66

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Solution

The fourth proportional to 54.31, 81.26 and 45.66 is: 68.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 81.26 = 45.66 : x
  2. Step 2: Convert to fraction form
    54.31/81.26 = 45.66/x
  3. Step 3: Cross multiply
    54.31x = 81.26 × 45.66
  4. Step 4: Simplify right side
    54.31x = 3,709.93
  5. Step 5: Solve for x
    x = 3,709.93/54.31
  6. Step 6: Final answer
    x = 68.31

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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.