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Finding the Fourth Proportional to 13.01, 17.82 and 12.85

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Solution

The fourth proportional to 13.01, 17.82 and 12.85 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.01 : 17.82 = 12.85 : x
  2. Step 2: Convert to fraction form
    13.01/17.82 = 12.85/x
  3. Step 3: Cross multiply
    13.01x = 17.82 × 12.85
  4. Step 4: Simplify right side
    13.01x = 229.06
  5. Step 5: Solve for x
    x = 229.06/13.01
  6. Step 6: Final answer
    x = 17.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.