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Finding the Fourth Proportional to 21.78, 29.92 and 19.34

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Solution

The fourth proportional to 21.78, 29.92 and 19.34 is: 26.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 29.92 = 19.34 : x
  2. Step 2: Convert to fraction form
    21.78/29.92 = 19.34/x
  3. Step 3: Cross multiply
    21.78x = 29.92 × 19.34
  4. Step 4: Simplify right side
    21.78x = 578.65
  5. Step 5: Solve for x
    x = 578.65/21.78
  6. Step 6: Final answer
    x = 26.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.