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Finding the Fourth Proportional to 8.65, 13.03 and 8.08

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Solution

The fourth proportional to 8.65, 13.03 and 8.08 is: 12.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.65 : 13.03 = 8.08 : x
  2. Step 2: Convert to fraction form
    8.65/13.03 = 8.08/x
  3. Step 3: Cross multiply
    8.65x = 13.03 × 8.08
  4. Step 4: Simplify right side
    8.65x = 105.28
  5. Step 5: Solve for x
    x = 105.28/8.65
  6. Step 6: Final answer
    x = 12.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.