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Finding the Fourth Proportional to 27.40, 41.06 and 13.86

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Solution

The fourth proportional to 27.40, 41.06 and 13.86 is: 20.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 41.06 = 13.86 : x
  2. Step 2: Convert to fraction form
    27.40/41.06 = 13.86/x
  3. Step 3: Cross multiply
    27.40x = 41.06 × 13.86
  4. Step 4: Simplify right side
    27.40x = 569.09
  5. Step 5: Solve for x
    x = 569.09/27.40
  6. Step 6: Final answer
    x = 20.77

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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.