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Finding the Fourth Proportional to 20.10, 30.12 and 9.78

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Solution

The fourth proportional to 20.10, 30.12 and 9.78 is: 14.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.10 : 30.12 = 9.78 : x
  2. Step 2: Convert to fraction form
    20.10/30.12 = 9.78/x
  3. Step 3: Cross multiply
    20.10x = 30.12 × 9.78
  4. Step 4: Simplify right side
    20.10x = 294.57
  5. Step 5: Solve for x
    x = 294.57/20.10
  6. Step 6: Final answer
    x = 14.66

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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.