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Finding the Fourth Proportional to 68.26, 94.24 and 42.42

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Solution

The fourth proportional to 68.26, 94.24 and 42.42 is: 58.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.26 : 94.24 = 42.42 : x
  2. Step 2: Convert to fraction form
    68.26/94.24 = 42.42/x
  3. Step 3: Cross multiply
    68.26x = 94.24 × 42.42
  4. Step 4: Simplify right side
    68.26x = 3,997.66
  5. Step 5: Solve for x
    x = 3,997.66/68.26
  6. Step 6: Final answer
    x = 58.57

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