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Finding the Fourth Proportional to 22.83, 34.09 and 20.13

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Solution

The fourth proportional to 22.83, 34.09 and 20.13 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 34.09 = 20.13 : x
  2. Step 2: Convert to fraction form
    22.83/34.09 = 20.13/x
  3. Step 3: Cross multiply
    22.83x = 34.09 × 20.13
  4. Step 4: Simplify right side
    22.83x = 686.18
  5. Step 5: Solve for x
    x = 686.18/22.83
  6. Step 6: Final answer
    x = 30.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.