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Finding the Fourth Proportional to 20.59, 30.89 and 7.76

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Solution

The fourth proportional to 20.59, 30.89 and 7.76 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.59 : 30.89 = 7.76 : x
  2. Step 2: Convert to fraction form
    20.59/30.89 = 7.76/x
  3. Step 3: Cross multiply
    20.59x = 30.89 × 7.76
  4. Step 4: Simplify right side
    20.59x = 239.80
  5. Step 5: Solve for x
    x = 239.80/20.59
  6. Step 6: Final answer
    x = 11.65

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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.