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Finding the Fourth Proportional to 13.85, 19.14 and 13.13

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Solution

The fourth proportional to 13.85, 19.14 and 13.13 is: 18.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.85 : 19.14 = 13.13 : x
  2. Step 2: Convert to fraction form
    13.85/19.14 = 13.13/x
  3. Step 3: Cross multiply
    13.85x = 19.14 × 13.13
  4. Step 4: Simplify right side
    13.85x = 251.24
  5. Step 5: Solve for x
    x = 251.24/13.85
  6. Step 6: Final answer
    x = 18.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.