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Finding the Fourth Proportional to 29.21, 40.27 and 22.29

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Solution

The fourth proportional to 29.21, 40.27 and 22.29 is: 30.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.21 : 40.27 = 22.29 : x
  2. Step 2: Convert to fraction form
    29.21/40.27 = 22.29/x
  3. Step 3: Cross multiply
    29.21x = 40.27 × 22.29
  4. Step 4: Simplify right side
    29.21x = 897.79
  5. Step 5: Solve for x
    x = 897.79/29.21
  6. Step 6: Final answer
    x = 30.74

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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.