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Finding the Fourth Proportional to 22.30, 30.79 and 14.12

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Solution

The fourth proportional to 22.30, 30.79 and 14.12 is: 19.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 30.79 = 14.12 : x
  2. Step 2: Convert to fraction form
    22.30/30.79 = 14.12/x
  3. Step 3: Cross multiply
    22.30x = 30.79 × 14.12
  4. Step 4: Simplify right side
    22.30x = 434.57
  5. Step 5: Solve for x
    x = 434.57/22.30
  6. Step 6: Final answer
    x = 19.49

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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.