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Finding the Fourth Proportional to 19.89, 29.82 and 9.05

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Solution

The fourth proportional to 19.89, 29.82 and 9.05 is: 13.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.89 : 29.82 = 9.05 : x
  2. Step 2: Convert to fraction form
    19.89/29.82 = 9.05/x
  3. Step 3: Cross multiply
    19.89x = 29.82 × 9.05
  4. Step 4: Simplify right side
    19.89x = 269.95
  5. Step 5: Solve for x
    x = 269.95/19.89
  6. Step 6: Final answer
    x = 13.57

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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.