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Finding the Fourth Proportional to 22.54, 31.09 and 14.36

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Solution

The fourth proportional to 22.54, 31.09 and 14.36 is: 19.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 31.09 = 14.36 : x
  2. Step 2: Convert to fraction form
    22.54/31.09 = 14.36/x
  3. Step 3: Cross multiply
    22.54x = 31.09 × 14.36
  4. Step 4: Simplify right side
    22.54x = 446.52
  5. Step 5: Solve for x
    x = 446.52/22.54
  6. Step 6: Final answer
    x = 19.81

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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.