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Finding the Fourth Proportional to 27.67, 41.51 and 12.45

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Solution

The fourth proportional to 27.67, 41.51 and 12.45 is: 18.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.67 : 41.51 = 12.45 : x
  2. Step 2: Convert to fraction form
    27.67/41.51 = 12.45/x
  3. Step 3: Cross multiply
    27.67x = 41.51 × 12.45
  4. Step 4: Simplify right side
    27.67x = 516.99
  5. Step 5: Solve for x
    x = 516.99/27.67
  6. Step 6: Final answer
    x = 18.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.