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Finding the Fourth Proportional to 23.08, 34.40 and 22.89

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Solution

The fourth proportional to 23.08, 34.40 and 22.89 is: 34.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 34.40 = 22.89 : x
  2. Step 2: Convert to fraction form
    23.08/34.40 = 22.89/x
  3. Step 3: Cross multiply
    23.08x = 34.40 × 22.89
  4. Step 4: Simplify right side
    23.08x = 787.42
  5. Step 5: Solve for x
    x = 787.42/23.08
  6. Step 6: Final answer
    x = 34.12

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Why These Related Problems?

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