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Finding the Fourth Proportional to 27.86, 41.84 and 27.74

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Solution

The fourth proportional to 27.86, 41.84 and 27.74 is: 41.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.86 : 41.84 = 27.74 : x
  2. Step 2: Convert to fraction form
    27.86/41.84 = 27.74/x
  3. Step 3: Cross multiply
    27.86x = 41.84 × 27.74
  4. Step 4: Simplify right side
    27.86x = 1,160.64
  5. Step 5: Solve for x
    x = 1,160.64/27.86
  6. Step 6: Final answer
    x = 41.66

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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.