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Finding the Fourth Proportional to 27.96, 42.04 and 23.91

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Solution

The fourth proportional to 27.96, 42.04 and 23.91 is: 35.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.96 : 42.04 = 23.91 : x
  2. Step 2: Convert to fraction form
    27.96/42.04 = 23.91/x
  3. Step 3: Cross multiply
    27.96x = 42.04 × 23.91
  4. Step 4: Simplify right side
    27.96x = 1,005.18
  5. Step 5: Solve for x
    x = 1,005.18/27.96
  6. Step 6: Final answer
    x = 35.95

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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.