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Finding the Fourth Proportional to 22.72, 34.09 and 9.20

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Solution

The fourth proportional to 22.72, 34.09 and 9.20 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.72 : 34.09 = 9.20 : x
  2. Step 2: Convert to fraction form
    22.72/34.09 = 9.20/x
  3. Step 3: Cross multiply
    22.72x = 34.09 × 9.20
  4. Step 4: Simplify right side
    22.72x = 313.63
  5. Step 5: Solve for x
    x = 313.63/22.72
  6. Step 6: Final answer
    x = 13.80

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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.