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Finding the Fourth Proportional to 22.71, 31.38 and 17.20

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Solution

The fourth proportional to 22.71, 31.38 and 17.20 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.71 : 31.38 = 17.20 : x
  2. Step 2: Convert to fraction form
    22.71/31.38 = 17.20/x
  3. Step 3: Cross multiply
    22.71x = 31.38 × 17.20
  4. Step 4: Simplify right side
    22.71x = 539.65
  5. Step 5: Solve for x
    x = 539.65/22.71
  6. Step 6: Final answer
    x = 23.76

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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.