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Finding the Fourth Proportional to 27.84, 41.76 and 15.83

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Solution

The fourth proportional to 27.84, 41.76 and 15.83 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.76 = 15.83 : x
  2. Step 2: Convert to fraction form
    27.84/41.76 = 15.83/x
  3. Step 3: Cross multiply
    27.84x = 41.76 × 15.83
  4. Step 4: Simplify right side
    27.84x = 660.85
  5. Step 5: Solve for x
    x = 660.85/27.84
  6. Step 6: Final answer
    x = 23.74

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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.