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Finding the Fourth Proportional to 18.09, 27.14 and 10.13

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Solution

The fourth proportional to 18.09, 27.14 and 10.13 is: 15.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.09 : 27.14 = 10.13 : x
  2. Step 2: Convert to fraction form
    18.09/27.14 = 10.13/x
  3. Step 3: Cross multiply
    18.09x = 27.14 × 10.13
  4. Step 4: Simplify right side
    18.09x = 274.86
  5. Step 5: Solve for x
    x = 274.86/18.09
  6. Step 6: Final answer
    x = 15.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.