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Finding the Fourth Proportional to 13.98, 19.14 and 13.14

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Solution

The fourth proportional to 13.98, 19.14 and 13.14 is: 17.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.98 : 19.14 = 13.14 : x
  2. Step 2: Convert to fraction form
    13.98/19.14 = 13.14/x
  3. Step 3: Cross multiply
    13.98x = 19.14 × 13.14
  4. Step 4: Simplify right side
    13.98x = 251.50
  5. Step 5: Solve for x
    x = 251.50/13.98
  6. Step 6: Final answer
    x = 17.99

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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.