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Finding the Fourth Proportional to 8.81, 13.19 and 7.46

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Solution

The fourth proportional to 8.81, 13.19 and 7.46 is: 11.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.81 : 13.19 = 7.46 : x
  2. Step 2: Convert to fraction form
    8.81/13.19 = 7.46/x
  3. Step 3: Cross multiply
    8.81x = 13.19 × 7.46
  4. Step 4: Simplify right side
    8.81x = 98.29
  5. Step 5: Solve for x
    x = 98.29/8.81
  6. Step 6: Final answer
    x = 11.16

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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.