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Finding the Fourth Proportional to 16.85, 25.17 and 16.05

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Solution

The fourth proportional to 16.85, 25.17 and 16.05 is: 23.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.85 : 25.17 = 16.05 : x
  2. Step 2: Convert to fraction form
    16.85/25.17 = 16.05/x
  3. Step 3: Cross multiply
    16.85x = 25.17 × 16.05
  4. Step 4: Simplify right side
    16.85x = 403.98
  5. Step 5: Solve for x
    x = 403.98/16.85
  6. Step 6: Final answer
    x = 23.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.