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Finding the Fourth Proportional to 19.85, 27.41 and 17.82

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Solution

The fourth proportional to 19.85, 27.41 and 17.82 is: 24.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 27.41 = 17.82 : x
  2. Step 2: Convert to fraction form
    19.85/27.41 = 17.82/x
  3. Step 3: Cross multiply
    19.85x = 27.41 × 17.82
  4. Step 4: Simplify right side
    19.85x = 488.36
  5. Step 5: Solve for x
    x = 488.36/19.85
  6. Step 6: Final answer
    x = 24.61

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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.