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Finding the Fourth Proportional to 67.98, 101.84 and 42.23

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Solution

The fourth proportional to 67.98, 101.84 and 42.23 is: 63.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 101.84 = 42.23 : x
  2. Step 2: Convert to fraction form
    67.98/101.84 = 42.23/x
  3. Step 3: Cross multiply
    67.98x = 101.84 × 42.23
  4. Step 4: Simplify right side
    67.98x = 4,299.98
  5. Step 5: Solve for x
    x = 4,299.98/67.98
  6. Step 6: Final answer
    x = 63.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.