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Finding the Fourth Proportional to 14.38, 19.85 and 13.22

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Solution

The fourth proportional to 14.38, 19.85 and 13.22 is: 18.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.38 : 19.85 = 13.22 : x
  2. Step 2: Convert to fraction form
    14.38/19.85 = 13.22/x
  3. Step 3: Cross multiply
    14.38x = 19.85 × 13.22
  4. Step 4: Simplify right side
    14.38x = 262.40
  5. Step 5: Solve for x
    x = 262.40/14.38
  6. Step 6: Final answer
    x = 18.25

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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.