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Finding the Fourth Proportional to 15.14, 22.69 and 8.02

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Solution

The fourth proportional to 15.14, 22.69 and 8.02 is: 12.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.14 : 22.69 = 8.02 : x
  2. Step 2: Convert to fraction form
    15.14/22.69 = 8.02/x
  3. Step 3: Cross multiply
    15.14x = 22.69 × 8.02
  4. Step 4: Simplify right side
    15.14x = 181.97
  5. Step 5: Solve for x
    x = 181.97/15.14
  6. Step 6: Final answer
    x = 12.02

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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.