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Finding the Fourth Proportional to 13.02, 19.54 and 8.22

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Solution

The fourth proportional to 13.02, 19.54 and 8.22 is: 12.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 19.54 = 8.22 : x
  2. Step 2: Convert to fraction form
    13.02/19.54 = 8.22/x
  3. Step 3: Cross multiply
    13.02x = 19.54 × 8.22
  4. Step 4: Simplify right side
    13.02x = 160.62
  5. Step 5: Solve for x
    x = 160.62/13.02
  6. Step 6: Final answer
    x = 12.34

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Why These Related Problems?

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