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Finding the Fourth Proportional to 27.09, 40.68 and 25.42

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Solution

The fourth proportional to 27.09, 40.68 and 25.42 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.09 : 40.68 = 25.42 : x
  2. Step 2: Convert to fraction form
    27.09/40.68 = 25.42/x
  3. Step 3: Cross multiply
    27.09x = 40.68 × 25.42
  4. Step 4: Simplify right side
    27.09x = 1,034.09
  5. Step 5: Solve for x
    x = 1,034.09/27.09
  6. Step 6: Final answer
    x = 38.17

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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.