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Finding the Fourth Proportional to 18.92, 28.32 and 15.81

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Solution

The fourth proportional to 18.92, 28.32 and 15.81 is: 23.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.92 : 28.32 = 15.81 : x
  2. Step 2: Convert to fraction form
    18.92/28.32 = 15.81/x
  3. Step 3: Cross multiply
    18.92x = 28.32 × 15.81
  4. Step 4: Simplify right side
    18.92x = 447.74
  5. Step 5: Solve for x
    x = 447.74/18.92
  6. Step 6: Final answer
    x = 23.67

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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.