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Finding the Fourth Proportional to 20.59, 30.86 and 10.95

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Solution

The fourth proportional to 20.59, 30.86 and 10.95 is: 16.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.59 : 30.86 = 10.95 : x
  2. Step 2: Convert to fraction form
    20.59/30.86 = 10.95/x
  3. Step 3: Cross multiply
    20.59x = 30.86 × 10.95
  4. Step 4: Simplify right side
    20.59x = 337.92
  5. Step 5: Solve for x
    x = 337.92/20.59
  6. Step 6: Final answer
    x = 16.41

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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.