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Finding the Fourth Proportional to 13.85, 19.00 and 13.25

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Solution

The fourth proportional to 13.85, 19.00 and 13.25 is: 18.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.85 : 19.00 = 13.25 : x
  2. Step 2: Convert to fraction form
    13.85/19.00 = 13.25/x
  3. Step 3: Cross multiply
    13.85x = 19.00 × 13.25
  4. Step 4: Simplify right side
    13.85x = 251.68
  5. Step 5: Solve for x
    x = 251.68/13.85
  6. Step 6: Final answer
    x = 18.17

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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.