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Finding the Fourth Proportional to 20.09, 30.14 and 6.58

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Solution

The fourth proportional to 20.09, 30.14 and 6.58 is: 9.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.09 : 30.14 = 6.58 : x
  2. Step 2: Convert to fraction form
    20.09/30.14 = 6.58/x
  3. Step 3: Cross multiply
    20.09x = 30.14 × 6.58
  4. Step 4: Simplify right side
    20.09x = 198.21
  5. Step 5: Solve for x
    x = 198.21/20.09
  6. Step 6: Final answer
    x = 9.86

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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.