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Finding the Fourth Proportional to 12.02, 17.89 and 12.00

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Solution

The fourth proportional to 12.02, 17.89 and 12.00 is: 17.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 17.89 = 12.00 : x
  2. Step 2: Convert to fraction form
    12.02/17.89 = 12.00/x
  3. Step 3: Cross multiply
    12.02x = 17.89 × 12.00
  4. Step 4: Simplify right side
    12.02x = 214.56
  5. Step 5: Solve for x
    x = 214.56/12.02
  6. Step 6: Final answer
    x = 17.85

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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.