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Finding the Fourth Proportional to 23.08, 34.74 and 19.78

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Solution

The fourth proportional to 23.08, 34.74 and 19.78 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 34.74 = 19.78 : x
  2. Step 2: Convert to fraction form
    23.08/34.74 = 19.78/x
  3. Step 3: Cross multiply
    23.08x = 34.74 × 19.78
  4. Step 4: Simplify right side
    23.08x = 687.07
  5. Step 5: Solve for x
    x = 687.07/23.08
  6. Step 6: Final answer
    x = 29.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.