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Finding the Fourth Proportional to 27.87, 41.76 and 18.24

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Solution

The fourth proportional to 27.87, 41.76 and 18.24 is: 27.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.87 : 41.76 = 18.24 : x
  2. Step 2: Convert to fraction form
    27.87/41.76 = 18.24/x
  3. Step 3: Cross multiply
    27.87x = 41.76 × 18.24
  4. Step 4: Simplify right side
    27.87x = 761.70
  5. Step 5: Solve for x
    x = 761.70/27.87
  6. Step 6: Final answer
    x = 27.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.