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Finding the Fourth Proportional to 29.32, 43.86 and 22.43

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Solution

The fourth proportional to 29.32, 43.86 and 22.43 is: 33.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.32 : 43.86 = 22.43 : x
  2. Step 2: Convert to fraction form
    29.32/43.86 = 22.43/x
  3. Step 3: Cross multiply
    29.32x = 43.86 × 22.43
  4. Step 4: Simplify right side
    29.32x = 983.78
  5. Step 5: Solve for x
    x = 983.78/29.32
  6. Step 6: Final answer
    x = 33.55

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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.