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Finding the Fourth Proportional to 23.75, 35.59 and 13.61

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Solution

The fourth proportional to 23.75, 35.59 and 13.61 is: 20.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 35.59 = 13.61 : x
  2. Step 2: Convert to fraction form
    23.75/35.59 = 13.61/x
  3. Step 3: Cross multiply
    23.75x = 35.59 × 13.61
  4. Step 4: Simplify right side
    23.75x = 484.38
  5. Step 5: Solve for x
    x = 484.38/23.75
  6. Step 6: Final answer
    x = 20.39

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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.