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Finding the Fourth Proportional to 12.90, 19.21 and 12.09

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Solution

The fourth proportional to 12.90, 19.21 and 12.09 is: 18.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.90 : 19.21 = 12.09 : x
  2. Step 2: Convert to fraction form
    12.90/19.21 = 12.09/x
  3. Step 3: Cross multiply
    12.90x = 19.21 × 12.09
  4. Step 4: Simplify right side
    12.90x = 232.25
  5. Step 5: Solve for x
    x = 232.25/12.90
  6. Step 6: Final answer
    x = 18.00

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