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Finding the Fourth Proportional to 29.58, 44.22 and 22.26

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Solution

The fourth proportional to 29.58, 44.22 and 22.26 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.58 : 44.22 = 22.26 : x
  2. Step 2: Convert to fraction form
    29.58/44.22 = 22.26/x
  3. Step 3: Cross multiply
    29.58x = 44.22 × 22.26
  4. Step 4: Simplify right side
    29.58x = 984.34
  5. Step 5: Solve for x
    x = 984.34/29.58
  6. Step 6: Final answer
    x = 33.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.