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Finding the Fourth Proportional to 14.22, 19.66 and 13.28

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Solution

The fourth proportional to 14.22, 19.66 and 13.28 is: 18.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.22 : 19.66 = 13.28 : x
  2. Step 2: Convert to fraction form
    14.22/19.66 = 13.28/x
  3. Step 3: Cross multiply
    14.22x = 19.66 × 13.28
  4. Step 4: Simplify right side
    14.22x = 261.08
  5. Step 5: Solve for x
    x = 261.08/14.22
  6. Step 6: Final answer
    x = 18.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.