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Finding the Fourth Proportional to 22.49, 31.02 and 14.31

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Solution

The fourth proportional to 22.49, 31.02 and 14.31 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 31.02 = 14.31 : x
  2. Step 2: Convert to fraction form
    22.49/31.02 = 14.31/x
  3. Step 3: Cross multiply
    22.49x = 31.02 × 14.31
  4. Step 4: Simplify right side
    22.49x = 443.90
  5. Step 5: Solve for x
    x = 443.90/22.49
  6. Step 6: Final answer
    x = 19.74

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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.