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Finding the Fourth Proportional to 23.05, 34.32 and 22.95

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Solution

The fourth proportional to 23.05, 34.32 and 22.95 is: 34.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 34.32 = 22.95 : x
  2. Step 2: Convert to fraction form
    23.05/34.32 = 22.95/x
  3. Step 3: Cross multiply
    23.05x = 34.32 × 22.95
  4. Step 4: Simplify right side
    23.05x = 787.73
  5. Step 5: Solve for x
    x = 787.73/23.05
  6. Step 6: Final answer
    x = 34.17

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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.