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Finding the Fourth Proportional to 14.20, 19.58 and 13.98

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Solution

The fourth proportional to 14.20, 19.58 and 13.98 is: 19.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 19.58 = 13.98 : x
  2. Step 2: Convert to fraction form
    14.20/19.58 = 13.98/x
  3. Step 3: Cross multiply
    14.20x = 19.58 × 13.98
  4. Step 4: Simplify right side
    14.20x = 273.73
  5. Step 5: Solve for x
    x = 273.73/14.20
  6. Step 6: Final answer
    x = 19.28

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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.