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Finding the Fourth Proportional to 27.60, 41.40 and 12.37

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Solution

The fourth proportional to 27.60, 41.40 and 12.37 is: 18.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.60 : 41.40 = 12.37 : x
  2. Step 2: Convert to fraction form
    27.60/41.40 = 12.37/x
  3. Step 3: Cross multiply
    27.60x = 41.40 × 12.37
  4. Step 4: Simplify right side
    27.60x = 512.12
  5. Step 5: Solve for x
    x = 512.12/27.60
  6. Step 6: Final answer
    x = 18.56

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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.