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Finding the Fourth Proportional to 19.85, 29.54 and 19.73

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Solution

The fourth proportional to 19.85, 29.54 and 19.73 is: 29.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 29.54 = 19.73 : x
  2. Step 2: Convert to fraction form
    19.85/29.54 = 19.73/x
  3. Step 3: Cross multiply
    19.85x = 29.54 × 19.73
  4. Step 4: Simplify right side
    19.85x = 582.58
  5. Step 5: Solve for x
    x = 582.58/19.85
  6. Step 6: Final answer
    x = 29.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.