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Finding the Fourth Proportional to 19.43, 29.13 and 9.28

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Solution

The fourth proportional to 19.43, 29.13 and 9.28 is: 13.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.43 : 29.13 = 9.28 : x
  2. Step 2: Convert to fraction form
    19.43/29.13 = 9.28/x
  3. Step 3: Cross multiply
    19.43x = 29.13 × 9.28
  4. Step 4: Simplify right side
    19.43x = 270.33
  5. Step 5: Solve for x
    x = 270.33/19.43
  6. Step 6: Final answer
    x = 13.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.