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Finding the Fourth Proportional to 27.40, 41.10 and 8.14

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Solution

The fourth proportional to 27.40, 41.10 and 8.14 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 41.10 = 8.14 : x
  2. Step 2: Convert to fraction form
    27.40/41.10 = 8.14/x
  3. Step 3: Cross multiply
    27.40x = 41.10 × 8.14
  4. Step 4: Simplify right side
    27.40x = 334.55
  5. Step 5: Solve for x
    x = 334.55/27.40
  6. Step 6: Final answer
    x = 12.21

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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.