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Finding the Fourth Proportional to 20.57, 30.84 and 10.94

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Solution

The fourth proportional to 20.57, 30.84 and 10.94 is: 16.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 30.84 = 10.94 : x
  2. Step 2: Convert to fraction form
    20.57/30.84 = 10.94/x
  3. Step 3: Cross multiply
    20.57x = 30.84 × 10.94
  4. Step 4: Simplify right side
    20.57x = 337.24
  5. Step 5: Solve for x
    x = 337.24/20.57
  6. Step 6: Final answer
    x = 16.40

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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.