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Finding the Fourth Proportional to 67.98, 93.84 and 54.27

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Solution

The fourth proportional to 67.98, 93.84 and 54.27 is: 74.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 93.84 = 54.27 : x
  2. Step 2: Convert to fraction form
    67.98/93.84 = 54.27/x
  3. Step 3: Cross multiply
    67.98x = 93.84 × 54.27
  4. Step 4: Simplify right side
    67.98x = 5,092.23
  5. Step 5: Solve for x
    x = 5,092.23/67.98
  6. Step 6: Final answer
    x = 74.90

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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.