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Finding the Fourth Proportional to 22.80, 31.45 and 13.09

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Solution

The fourth proportional to 22.80, 31.45 and 13.09 is: 18.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.80 : 31.45 = 13.09 : x
  2. Step 2: Convert to fraction form
    22.80/31.45 = 13.09/x
  3. Step 3: Cross multiply
    22.80x = 31.45 × 13.09
  4. Step 4: Simplify right side
    22.80x = 411.68
  5. Step 5: Solve for x
    x = 411.68/22.80
  6. Step 6: Final answer
    x = 18.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.