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Finding the Fourth Proportional to 28.82, 43.13 and 23.69

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Solution

The fourth proportional to 28.82, 43.13 and 23.69 is: 35.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.82 : 43.13 = 23.69 : x
  2. Step 2: Convert to fraction form
    28.82/43.13 = 23.69/x
  3. Step 3: Cross multiply
    28.82x = 43.13 × 23.69
  4. Step 4: Simplify right side
    28.82x = 1,021.42
  5. Step 5: Solve for x
    x = 1,021.42/28.82
  6. Step 6: Final answer
    x = 35.45

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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.