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Finding the Fourth Proportional to 29.66, 44.46 and 26.96

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Solution

The fourth proportional to 29.66, 44.46 and 26.96 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.66 : 44.46 = 26.96 : x
  2. Step 2: Convert to fraction form
    29.66/44.46 = 26.96/x
  3. Step 3: Cross multiply
    29.66x = 44.46 × 26.96
  4. Step 4: Simplify right side
    29.66x = 1,198.42
  5. Step 5: Solve for x
    x = 1,198.42/29.66
  6. Step 6: Final answer
    x = 40.41

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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.