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Finding the Fourth Proportional to 19.85, 27.20 and 18.97

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Solution

The fourth proportional to 19.85, 27.20 and 18.97 is: 26.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 27.20 = 18.97 : x
  2. Step 2: Convert to fraction form
    19.85/27.20 = 18.97/x
  3. Step 3: Cross multiply
    19.85x = 27.20 × 18.97
  4. Step 4: Simplify right side
    19.85x = 515.96
  5. Step 5: Solve for x
    x = 515.96/19.85
  6. Step 6: Final answer
    x = 26.00

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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.