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Finding the Fourth Proportional to 28.89, 43.37 and 24.14

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Solution

The fourth proportional to 28.89, 43.37 and 24.14 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.89 : 43.37 = 24.14 : x
  2. Step 2: Convert to fraction form
    28.89/43.37 = 24.14/x
  3. Step 3: Cross multiply
    28.89x = 43.37 × 24.14
  4. Step 4: Simplify right side
    28.89x = 1,046.83
  5. Step 5: Solve for x
    x = 1,046.83/28.89
  6. Step 6: Final answer
    x = 36.23

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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.