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Finding the Fourth Proportional to 20.66, 30.97 and 7.13

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Solution

The fourth proportional to 20.66, 30.97 and 7.13 is: 10.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.66 : 30.97 = 7.13 : x
  2. Step 2: Convert to fraction form
    20.66/30.97 = 7.13/x
  3. Step 3: Cross multiply
    20.66x = 30.97 × 7.13
  4. Step 4: Simplify right side
    20.66x = 220.82
  5. Step 5: Solve for x
    x = 220.82/20.66
  6. Step 6: Final answer
    x = 10.69

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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.