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Finding the Fourth Proportional to 23.17, 31.82 and 20.74

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Solution

The fourth proportional to 23.17, 31.82 and 20.74 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.17 : 31.82 = 20.74 : x
  2. Step 2: Convert to fraction form
    23.17/31.82 = 20.74/x
  3. Step 3: Cross multiply
    23.17x = 31.82 × 20.74
  4. Step 4: Simplify right side
    23.17x = 659.95
  5. Step 5: Solve for x
    x = 659.95/23.17
  6. Step 6: Final answer
    x = 28.48

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Find fourth proportional to 11.59, 15.91 and 10.37
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.