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Finding the Fourth Proportional to 15.69, 23.54 and 8.09

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Solution

The fourth proportional to 15.69, 23.54 and 8.09 is: 12.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.69 : 23.54 = 8.09 : x
  2. Step 2: Convert to fraction form
    15.69/23.54 = 8.09/x
  3. Step 3: Cross multiply
    15.69x = 23.54 × 8.09
  4. Step 4: Simplify right side
    15.69x = 190.40
  5. Step 5: Solve for x
    x = 190.40/15.69
  6. Step 6: Final answer
    x = 12.13

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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.