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Finding the Fourth Proportional to 28.17, 38.83 and 22.96

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Solution

The fourth proportional to 28.17, 38.83 and 22.96 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.17 : 38.83 = 22.96 : x
  2. Step 2: Convert to fraction form
    28.17/38.83 = 22.96/x
  3. Step 3: Cross multiply
    28.17x = 38.83 × 22.96
  4. Step 4: Simplify right side
    28.17x = 891.46
  5. Step 5: Solve for x
    x = 891.46/28.17
  6. Step 6: Final answer
    x = 31.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.