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Finding the Fourth Proportional to 40.71, 56.17 and 22.28

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Solution

The fourth proportional to 40.71, 56.17 and 22.28 is: 30.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.71 : 56.17 = 22.28 : x
  2. Step 2: Convert to fraction form
    40.71/56.17 = 22.28/x
  3. Step 3: Cross multiply
    40.71x = 56.17 × 22.28
  4. Step 4: Simplify right side
    40.71x = 1,251.72
  5. Step 5: Solve for x
    x = 1,251.72/40.71
  6. Step 6: Final answer
    x = 30.75

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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.