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Finding the Fourth Proportional to 23.89, 35.76 and 22.78

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Solution

The fourth proportional to 23.89, 35.76 and 22.78 is: 34.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.89 : 35.76 = 22.78 : x
  2. Step 2: Convert to fraction form
    23.89/35.76 = 22.78/x
  3. Step 3: Cross multiply
    23.89x = 35.76 × 22.78
  4. Step 4: Simplify right side
    23.89x = 814.43
  5. Step 5: Solve for x
    x = 814.43/23.89
  6. Step 6: Final answer
    x = 34.10

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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.