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Finding the Fourth Proportional to 19.38, 28.94 and 16.01

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Solution

The fourth proportional to 19.38, 28.94 and 16.01 is: 23.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.38 : 28.94 = 16.01 : x
  2. Step 2: Convert to fraction form
    19.38/28.94 = 16.01/x
  3. Step 3: Cross multiply
    19.38x = 28.94 × 16.01
  4. Step 4: Simplify right side
    19.38x = 463.33
  5. Step 5: Solve for x
    x = 463.33/19.38
  6. Step 6: Final answer
    x = 23.91

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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.