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Finding the Fourth Proportional to 14.20, 19.68 and 14.08

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Solution

The fourth proportional to 14.20, 19.68 and 14.08 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 19.68 = 14.08 : x
  2. Step 2: Convert to fraction form
    14.20/19.68 = 14.08/x
  3. Step 3: Cross multiply
    14.20x = 19.68 × 14.08
  4. Step 4: Simplify right side
    14.20x = 277.09
  5. Step 5: Solve for x
    x = 277.09/14.20
  6. Step 6: Final answer
    x = 19.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.