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Finding the Fourth Proportional to 27.99, 41.91 and 18.36

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Solution

The fourth proportional to 27.99, 41.91 and 18.36 is: 27.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 41.91 = 18.36 : x
  2. Step 2: Convert to fraction form
    27.99/41.91 = 18.36/x
  3. Step 3: Cross multiply
    27.99x = 41.91 × 18.36
  4. Step 4: Simplify right side
    27.99x = 769.47
  5. Step 5: Solve for x
    x = 769.47/27.99
  6. Step 6: Final answer
    x = 27.49

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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.