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Finding the Fourth Proportional to 8.10, 12.14 and 5.96

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Solution

The fourth proportional to 8.10, 12.14 and 5.96 is: 8.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.10 : 12.14 = 5.96 : x
  2. Step 2: Convert to fraction form
    8.10/12.14 = 5.96/x
  3. Step 3: Cross multiply
    8.10x = 12.14 × 5.96
  4. Step 4: Simplify right side
    8.10x = 72.26
  5. Step 5: Solve for x
    x = 72.26/8.10
  6. Step 6: Final answer
    x = 8.92

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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.