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Finding the Fourth Proportional to 16.78, 25.18 and 13.22

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Solution

The fourth proportional to 16.78, 25.18 and 13.22 is: 19.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 25.18 = 13.22 : x
  2. Step 2: Convert to fraction form
    16.78/25.18 = 13.22/x
  3. Step 3: Cross multiply
    16.78x = 25.18 × 13.22
  4. Step 4: Simplify right side
    16.78x = 332.88
  5. Step 5: Solve for x
    x = 332.88/16.78
  6. Step 6: Final answer
    x = 19.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.