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Finding the Fourth Proportional to 8.66, 12.99 and 5.10

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Solution

The fourth proportional to 8.66, 12.99 and 5.10 is: 7.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.66 : 12.99 = 5.10 : x
  2. Step 2: Convert to fraction form
    8.66/12.99 = 5.10/x
  3. Step 3: Cross multiply
    8.66x = 12.99 × 5.10
  4. Step 4: Simplify right side
    8.66x = 66.25
  5. Step 5: Solve for x
    x = 66.25/8.66
  6. Step 6: Final answer
    x = 7.65

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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.