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Finding the Fourth Proportional to 75.31, 103.94 and 54.66

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Solution

The fourth proportional to 75.31, 103.94 and 54.66 is: 75.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 103.94 = 54.66 : x
  2. Step 2: Convert to fraction form
    75.31/103.94 = 54.66/x
  3. Step 3: Cross multiply
    75.31x = 103.94 × 54.66
  4. Step 4: Simplify right side
    75.31x = 5,680.57
  5. Step 5: Solve for x
    x = 5,680.57/75.31
  6. Step 6: Final answer
    x = 75.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.