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Finding the Fourth Proportional to 20.52, 30.77 and 11.97

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Solution

The fourth proportional to 20.52, 30.77 and 11.97 is: 17.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.52 : 30.77 = 11.97 : x
  2. Step 2: Convert to fraction form
    20.52/30.77 = 11.97/x
  3. Step 3: Cross multiply
    20.52x = 30.77 × 11.97
  4. Step 4: Simplify right side
    20.52x = 368.37
  5. Step 5: Solve for x
    x = 368.37/20.52
  6. Step 6: Final answer
    x = 17.95

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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.