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Finding the Fourth Proportional to 23.87, 35.83 and 16.75

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Solution

The fourth proportional to 23.87, 35.83 and 16.75 is: 25.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.87 : 35.83 = 16.75 : x
  2. Step 2: Convert to fraction form
    23.87/35.83 = 16.75/x
  3. Step 3: Cross multiply
    23.87x = 35.83 × 16.75
  4. Step 4: Simplify right side
    23.87x = 600.15
  5. Step 5: Solve for x
    x = 600.15/23.87
  6. Step 6: Final answer
    x = 25.14

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Why These Related Problems?

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