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Finding the Fourth Proportional to 15.92, 23.82 and 9.14

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Solution

The fourth proportional to 15.92, 23.82 and 9.14 is: 13.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.92 : 23.82 = 9.14 : x
  2. Step 2: Convert to fraction form
    15.92/23.82 = 9.14/x
  3. Step 3: Cross multiply
    15.92x = 23.82 × 9.14
  4. Step 4: Simplify right side
    15.92x = 217.60
  5. Step 5: Solve for x
    x = 217.60/15.92
  6. Step 6: Final answer
    x = 13.67

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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.