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Finding the Fourth Proportional to 20.73, 30.93 and 19.46

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Solution

The fourth proportional to 20.73, 30.93 and 19.46 is: 29.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.73 : 30.93 = 19.46 : x
  2. Step 2: Convert to fraction form
    20.73/30.93 = 19.46/x
  3. Step 3: Cross multiply
    20.73x = 30.93 × 19.46
  4. Step 4: Simplify right side
    20.73x = 601.74
  5. Step 5: Solve for x
    x = 601.74/20.73
  6. Step 6: Final answer
    x = 29.03

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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.