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Finding the Fourth Proportional to 22.62, 31.21 and 13.40

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Solution

The fourth proportional to 22.62, 31.21 and 13.40 is: 18.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.62 : 31.21 = 13.40 : x
  2. Step 2: Convert to fraction form
    22.62/31.21 = 13.40/x
  3. Step 3: Cross multiply
    22.62x = 31.21 × 13.40
  4. Step 4: Simplify right side
    22.62x = 418.26
  5. Step 5: Solve for x
    x = 418.26/22.62
  6. Step 6: Final answer
    x = 18.49

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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.