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Finding the Fourth Proportional to 23.40, 34.83 and 22.42

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Solution

The fourth proportional to 23.40, 34.83 and 22.42 is: 33.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.40 : 34.83 = 22.42 : x
  2. Step 2: Convert to fraction form
    23.40/34.83 = 22.42/x
  3. Step 3: Cross multiply
    23.40x = 34.83 × 22.42
  4. Step 4: Simplify right side
    23.40x = 780.89
  5. Step 5: Solve for x
    x = 780.89/23.40
  6. Step 6: Final answer
    x = 33.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.