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Finding the Fourth Proportional to 18.57, 27.81 and 18.24

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Solution

The fourth proportional to 18.57, 27.81 and 18.24 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.57 : 27.81 = 18.24 : x
  2. Step 2: Convert to fraction form
    18.57/27.81 = 18.24/x
  3. Step 3: Cross multiply
    18.57x = 27.81 × 18.24
  4. Step 4: Simplify right side
    18.57x = 507.25
  5. Step 5: Solve for x
    x = 507.25/18.57
  6. Step 6: Final answer
    x = 27.32

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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.