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Finding the Fourth Proportional to 23.09, 34.64 and 13.47

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Solution

The fourth proportional to 23.09, 34.64 and 13.47 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.64 = 13.47 : x
  2. Step 2: Convert to fraction form
    23.09/34.64 = 13.47/x
  3. Step 3: Cross multiply
    23.09x = 34.64 × 13.47
  4. Step 4: Simplify right side
    23.09x = 466.57
  5. Step 5: Solve for x
    x = 466.57/23.09
  6. Step 6: Final answer
    x = 20.20

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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.