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Finding the Fourth Proportional to 23.09, 34.59 and 15.49

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Solution

The fourth proportional to 23.09, 34.59 and 15.49 is: 23.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.59 = 15.49 : x
  2. Step 2: Convert to fraction form
    23.09/34.59 = 15.49/x
  3. Step 3: Cross multiply
    23.09x = 34.59 × 15.49
  4. Step 4: Simplify right side
    23.09x = 535.90
  5. Step 5: Solve for x
    x = 535.90/23.09
  6. Step 6: Final answer
    x = 23.21

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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.