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Finding the Fourth Proportional to 14.20, 19.69 and 14.04

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Solution

The fourth proportional to 14.20, 19.69 and 14.04 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 19.69 = 14.04 : x
  2. Step 2: Convert to fraction form
    14.20/19.69 = 14.04/x
  3. Step 3: Cross multiply
    14.20x = 19.69 × 14.04
  4. Step 4: Simplify right side
    14.20x = 276.45
  5. Step 5: Solve for x
    x = 276.45/14.20
  6. Step 6: Final answer
    x = 19.47

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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.