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Finding the Fourth Proportional to 13.02, 19.42 and 12.12

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Solution

The fourth proportional to 13.02, 19.42 and 12.12 is: 18.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 19.42 = 12.12 : x
  2. Step 2: Convert to fraction form
    13.02/19.42 = 12.12/x
  3. Step 3: Cross multiply
    13.02x = 19.42 × 12.12
  4. Step 4: Simplify right side
    13.02x = 235.37
  5. Step 5: Solve for x
    x = 235.37/13.02
  6. Step 6: Final answer
    x = 18.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.