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Finding the Fourth Proportional to 12.02, 15.86 and 12.02

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Solution

The fourth proportional to 12.02, 15.86 and 12.02 is: 15.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 15.86 = 12.02 : x
  2. Step 2: Convert to fraction form
    12.02/15.86 = 12.02/x
  3. Step 3: Cross multiply
    12.02x = 15.86 × 12.02
  4. Step 4: Simplify right side
    12.02x = 190.64
  5. Step 5: Solve for x
    x = 190.64/12.02
  6. Step 6: Final answer
    x = 15.86

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.