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Finding the Fourth Proportional to 11.15, 16.70 and 8.14

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Solution

The fourth proportional to 11.15, 16.70 and 8.14 is: 12.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.15 : 16.70 = 8.14 : x
  2. Step 2: Convert to fraction form
    11.15/16.70 = 8.14/x
  3. Step 3: Cross multiply
    11.15x = 16.70 × 8.14
  4. Step 4: Simplify right side
    11.15x = 135.85
  5. Step 5: Solve for x
    x = 135.85/11.15
  6. Step 6: Final answer
    x = 12.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.