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Finding the Fourth Proportional to 22.67, 31.29 and 14.47

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Solution

The fourth proportional to 22.67, 31.29 and 14.47 is: 19.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.67 : 31.29 = 14.47 : x
  2. Step 2: Convert to fraction form
    22.67/31.29 = 14.47/x
  3. Step 3: Cross multiply
    22.67x = 31.29 × 14.47
  4. Step 4: Simplify right side
    22.67x = 452.59
  5. Step 5: Solve for x
    x = 452.59/22.67
  6. Step 6: Final answer
    x = 19.97

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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.