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Finding the Fourth Proportional to 23.38, 34.91 and 22.96

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Solution

The fourth proportional to 23.38, 34.91 and 22.96 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.38 : 34.91 = 22.96 : x
  2. Step 2: Convert to fraction form
    23.38/34.91 = 22.96/x
  3. Step 3: Cross multiply
    23.38x = 34.91 × 22.96
  4. Step 4: Simplify right side
    23.38x = 801.53
  5. Step 5: Solve for x
    x = 801.53/23.38
  6. Step 6: Final answer
    x = 34.28

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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.