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Finding the Fourth Proportional to 29.48, 44.01 and 22.68

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Solution

The fourth proportional to 29.48, 44.01 and 22.68 is: 33.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.48 : 44.01 = 22.68 : x
  2. Step 2: Convert to fraction form
    29.48/44.01 = 22.68/x
  3. Step 3: Cross multiply
    29.48x = 44.01 × 22.68
  4. Step 4: Simplify right side
    29.48x = 998.15
  5. Step 5: Solve for x
    x = 998.15/29.48
  6. Step 6: Final answer
    x = 33.86

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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.