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Finding the Fourth Proportional to 27.23, 41 and 23.89

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Solution

The fourth proportional to 27.23, 41 and 23.89 is: 35.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.23 : 41 = 23.89 : x
  2. Step 2: Convert to fraction form
    27.23/41 = 23.89/x
  3. Step 3: Cross multiply
    27.23x = 41 × 23.89
  4. Step 4: Simplify right side
    27.23x = 979.49
  5. Step 5: Solve for x
    x = 979.49/27.23
  6. Step 6: Final answer
    x = 35.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.