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Finding the Fourth Proportional to 14.73, 20.34 and 9.28

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Solution

The fourth proportional to 14.73, 20.34 and 9.28 is: 12.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.73 : 20.34 = 9.28 : x
  2. Step 2: Convert to fraction form
    14.73/20.34 = 9.28/x
  3. Step 3: Cross multiply
    14.73x = 20.34 × 9.28
  4. Step 4: Simplify right side
    14.73x = 188.61
  5. Step 5: Solve for x
    x = 188.61/14.73
  6. Step 6: Final answer
    x = 12.80

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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.