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Finding the Fourth Proportional to 19.50, 29.22 and 18.54

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Solution

The fourth proportional to 19.50, 29.22 and 18.54 is: 27.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 29.22 = 18.54 : x
  2. Step 2: Convert to fraction form
    19.50/29.22 = 18.54/x
  3. Step 3: Cross multiply
    19.50x = 29.22 × 18.54
  4. Step 4: Simplify right side
    19.50x = 541.74
  5. Step 5: Solve for x
    x = 541.74/19.50
  6. Step 6: Final answer
    x = 27.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.