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Finding the Fourth Proportional to 27.75, 41.64 and 9.71

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Solution

The fourth proportional to 27.75, 41.64 and 9.71 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.75 : 41.64 = 9.71 : x
  2. Step 2: Convert to fraction form
    27.75/41.64 = 9.71/x
  3. Step 3: Cross multiply
    27.75x = 41.64 × 9.71
  4. Step 4: Simplify right side
    27.75x = 404.07
  5. Step 5: Solve for x
    x = 404.07/27.75
  6. Step 6: Final answer
    x = 14.56

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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.