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Finding the Fourth Proportional to 13.60, 18.77 and 10.14

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Solution

The fourth proportional to 13.60, 18.77 and 10.14 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.60 : 18.77 = 10.14 : x
  2. Step 2: Convert to fraction form
    13.60/18.77 = 10.14/x
  3. Step 3: Cross multiply
    13.60x = 18.77 × 10.14
  4. Step 4: Simplify right side
    13.60x = 190.33
  5. Step 5: Solve for x
    x = 190.33/13.60
  6. Step 6: Final answer
    x = 13.99

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Why These Related Problems?

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