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Finding the Fourth Proportional to 27.07, 40.61 and 12.82

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Solution

The fourth proportional to 27.07, 40.61 and 12.82 is: 19.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.07 : 40.61 = 12.82 : x
  2. Step 2: Convert to fraction form
    27.07/40.61 = 12.82/x
  3. Step 3: Cross multiply
    27.07x = 40.61 × 12.82
  4. Step 4: Simplify right side
    27.07x = 520.62
  5. Step 5: Solve for x
    x = 520.62/27.07
  6. Step 6: Final answer
    x = 19.23

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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.