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Finding the Fourth Proportional to 27.85, 41.77 and 8.59

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Solution

The fourth proportional to 27.85, 41.77 and 8.59 is: 12.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.85 : 41.77 = 8.59 : x
  2. Step 2: Convert to fraction form
    27.85/41.77 = 8.59/x
  3. Step 3: Cross multiply
    27.85x = 41.77 × 8.59
  4. Step 4: Simplify right side
    27.85x = 358.60
  5. Step 5: Solve for x
    x = 358.60/27.85
  6. Step 6: Final answer
    x = 12.88

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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.