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Finding the Fourth Proportional to 22.71, 34.04 and 9.17

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Solution

The fourth proportional to 22.71, 34.04 and 9.17 is: 13.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.71 : 34.04 = 9.17 : x
  2. Step 2: Convert to fraction form
    22.71/34.04 = 9.17/x
  3. Step 3: Cross multiply
    22.71x = 34.04 × 9.17
  4. Step 4: Simplify right side
    22.71x = 312.15
  5. Step 5: Solve for x
    x = 312.15/22.71
  6. Step 6: Final answer
    x = 13.74

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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.