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Finding the Fourth Proportional to 12.02, 18.14 and 11.66

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Solution

The fourth proportional to 12.02, 18.14 and 11.66 is: 17.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 18.14 = 11.66 : x
  2. Step 2: Convert to fraction form
    12.02/18.14 = 11.66/x
  3. Step 3: Cross multiply
    12.02x = 18.14 × 11.66
  4. Step 4: Simplify right side
    12.02x = 211.51
  5. Step 5: Solve for x
    x = 211.51/12.02
  6. Step 6: Final answer
    x = 17.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.