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Finding the Fourth Proportional to 12.15, 16.88 and 12.02

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Solution

The fourth proportional to 12.15, 16.88 and 12.02 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.15 : 16.88 = 12.02 : x
  2. Step 2: Convert to fraction form
    12.15/16.88 = 12.02/x
  3. Step 3: Cross multiply
    12.15x = 16.88 × 12.02
  4. Step 4: Simplify right side
    12.15x = 202.75
  5. Step 5: Solve for x
    x = 202.75/12.15
  6. Step 6: Final answer
    x = 16.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.