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Finding the Fourth Proportional to 27.38, 37.80 and 23.96

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Solution

The fourth proportional to 27.38, 37.80 and 23.96 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.38 : 37.80 = 23.96 : x
  2. Step 2: Convert to fraction form
    27.38/37.80 = 23.96/x
  3. Step 3: Cross multiply
    27.38x = 37.80 × 23.96
  4. Step 4: Simplify right side
    27.38x = 905.69
  5. Step 5: Solve for x
    x = 905.69/27.38
  6. Step 6: Final answer
    x = 33.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.