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Finding the Fourth Proportional to 22.66, 31.13 and 19.42

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Solution

The fourth proportional to 22.66, 31.13 and 19.42 is: 26.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.66 : 31.13 = 19.42 : x
  2. Step 2: Convert to fraction form
    22.66/31.13 = 19.42/x
  3. Step 3: Cross multiply
    22.66x = 31.13 × 19.42
  4. Step 4: Simplify right side
    22.66x = 604.54
  5. Step 5: Solve for x
    x = 604.54/22.66
  6. Step 6: Final answer
    x = 26.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.