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Finding the Fourth Proportional to 23.05, 31.78 and 19.35

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Solution

The fourth proportional to 23.05, 31.78 and 19.35 is: 26.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 31.78 = 19.35 : x
  2. Step 2: Convert to fraction form
    23.05/31.78 = 19.35/x
  3. Step 3: Cross multiply
    23.05x = 31.78 × 19.35
  4. Step 4: Simplify right side
    23.05x = 614.94
  5. Step 5: Solve for x
    x = 614.94/23.05
  6. Step 6: Final answer
    x = 26.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.