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Finding the Fourth Proportional to 19.66, 29.46 and 12.90

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Solution

The fourth proportional to 19.66, 29.46 and 12.90 is: 19.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 29.46 = 12.90 : x
  2. Step 2: Convert to fraction form
    19.66/29.46 = 12.90/x
  3. Step 3: Cross multiply
    19.66x = 29.46 × 12.90
  4. Step 4: Simplify right side
    19.66x = 380.03
  5. Step 5: Solve for x
    x = 380.03/19.66
  6. Step 6: Final answer
    x = 19.33

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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.