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Finding the Fourth Proportional to 28.94, 43.41 and 8.64

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Solution

The fourth proportional to 28.94, 43.41 and 8.64 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.94 : 43.41 = 8.64 : x
  2. Step 2: Convert to fraction form
    28.94/43.41 = 8.64/x
  3. Step 3: Cross multiply
    28.94x = 43.41 × 8.64
  4. Step 4: Simplify right side
    28.94x = 375.14
  5. Step 5: Solve for x
    x = 375.14/28.94
  6. Step 6: Final answer
    x = 12.96

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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.