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Finding the Fourth Proportional to 14.86, 20.49 and 14

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Solution

The fourth proportional to 14.86, 20.49 and 14 is: 19.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.86 : 20.49 = 14 : x
  2. Step 2: Convert to fraction form
    14.86/20.49 = 14/x
  3. Step 3: Cross multiply
    14.86x = 20.49 × 14
  4. Step 4: Simplify right side
    14.86x = 286.86
  5. Step 5: Solve for x
    x = 286.86/14.86
  6. Step 6: Final answer
    x = 19.31

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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.