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Finding the Fourth Proportional to 19.24, 28.74 and 14.05

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Solution

The fourth proportional to 19.24, 28.74 and 14.05 is: 20.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.24 : 28.74 = 14.05 : x
  2. Step 2: Convert to fraction form
    19.24/28.74 = 14.05/x
  3. Step 3: Cross multiply
    19.24x = 28.74 × 14.05
  4. Step 4: Simplify right side
    19.24x = 403.80
  5. Step 5: Solve for x
    x = 403.80/19.24
  6. Step 6: Final answer
    x = 20.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.