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Finding the Fourth Proportional to 27.71, 41.55 and 9.66

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Solution

The fourth proportional to 27.71, 41.55 and 9.66 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.71 : 41.55 = 9.66 : x
  2. Step 2: Convert to fraction form
    27.71/41.55 = 9.66/x
  3. Step 3: Cross multiply
    27.71x = 41.55 × 9.66
  4. Step 4: Simplify right side
    27.71x = 401.37
  5. Step 5: Solve for x
    x = 401.37/27.71
  6. Step 6: Final answer
    x = 14.48

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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.