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Finding the Fourth Proportional to 27.87, 41.76 and 23.79

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Solution

The fourth proportional to 27.87, 41.76 and 23.79 is: 35.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.87 : 41.76 = 23.79 : x
  2. Step 2: Convert to fraction form
    27.87/41.76 = 23.79/x
  3. Step 3: Cross multiply
    27.87x = 41.76 × 23.79
  4. Step 4: Simplify right side
    27.87x = 993.47
  5. Step 5: Solve for x
    x = 993.47/27.87
  6. Step 6: Final answer
    x = 35.65

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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.