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Finding the Fourth Proportional to 67.08, 100.62 and 23.75

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Solution

The fourth proportional to 67.08, 100.62 and 23.75 is: 35.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.08 : 100.62 = 23.75 : x
  2. Step 2: Convert to fraction form
    67.08/100.62 = 23.75/x
  3. Step 3: Cross multiply
    67.08x = 100.62 × 23.75
  4. Step 4: Simplify right side
    67.08x = 2,389.73
  5. Step 5: Solve for x
    x = 2,389.73/67.08
  6. Step 6: Final answer
    x = 35.63

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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.