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Finding the Fourth Proportional to 28.38, 39.09 and 22.89

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Solution

The fourth proportional to 28.38, 39.09 and 22.89 is: 31.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.38 : 39.09 = 22.89 : x
  2. Step 2: Convert to fraction form
    28.38/39.09 = 22.89/x
  3. Step 3: Cross multiply
    28.38x = 39.09 × 22.89
  4. Step 4: Simplify right side
    28.38x = 894.77
  5. Step 5: Solve for x
    x = 894.77/28.38
  6. Step 6: Final answer
    x = 31.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.