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Finding the Fourth Proportional to 18.91, 26.14 and 14.05

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Solution

The fourth proportional to 18.91, 26.14 and 14.05 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.91 : 26.14 = 14.05 : x
  2. Step 2: Convert to fraction form
    18.91/26.14 = 14.05/x
  3. Step 3: Cross multiply
    18.91x = 26.14 × 14.05
  4. Step 4: Simplify right side
    18.91x = 367.14
  5. Step 5: Solve for x
    x = 367.14/18.91
  6. Step 6: Final answer
    x = 19.42

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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.