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Finding the Fourth Proportional to 20.43, 30.66 and 9.75

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Solution

The fourth proportional to 20.43, 30.66 and 9.75 is: 14.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.43 : 30.66 = 9.75 : x
  2. Step 2: Convert to fraction form
    20.43/30.66 = 9.75/x
  3. Step 3: Cross multiply
    20.43x = 30.66 × 9.75
  4. Step 4: Simplify right side
    20.43x = 298.94
  5. Step 5: Solve for x
    x = 298.94/20.43
  6. Step 6: Final answer
    x = 14.63

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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.