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Finding the Fourth Proportional to 22.71, 31.37 and 15.84

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Solution

The fourth proportional to 22.71, 31.37 and 15.84 is: 21.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.71 : 31.37 = 15.84 : x
  2. Step 2: Convert to fraction form
    22.71/31.37 = 15.84/x
  3. Step 3: Cross multiply
    22.71x = 31.37 × 15.84
  4. Step 4: Simplify right side
    22.71x = 496.82
  5. Step 5: Solve for x
    x = 496.82/22.71
  6. Step 6: Final answer
    x = 21.88

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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.