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Finding the Fourth Proportional to 29.46, 44.16 and 22.59

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Solution

The fourth proportional to 29.46, 44.16 and 22.59 is: 33.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.46 : 44.16 = 22.59 : x
  2. Step 2: Convert to fraction form
    29.46/44.16 = 22.59/x
  3. Step 3: Cross multiply
    29.46x = 44.16 × 22.59
  4. Step 4: Simplify right side
    29.46x = 997.57
  5. Step 5: Solve for x
    x = 997.57/29.46
  6. Step 6: Final answer
    x = 33.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.