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Finding the Fourth Proportional to 19.89, 29.84 and 13.16

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Solution

The fourth proportional to 19.89, 29.84 and 13.16 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.89 : 29.84 = 13.16 : x
  2. Step 2: Convert to fraction form
    19.89/29.84 = 13.16/x
  3. Step 3: Cross multiply
    19.89x = 29.84 × 13.16
  4. Step 4: Simplify right side
    19.89x = 392.70
  5. Step 5: Solve for x
    x = 392.70/19.89
  6. Step 6: Final answer
    x = 19.74

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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.