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Finding the Fourth Proportional to 20.84, 31.10 and 19.33

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Solution

The fourth proportional to 20.84, 31.10 and 19.33 is: 28.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 31.10 = 19.33 : x
  2. Step 2: Convert to fraction form
    20.84/31.10 = 19.33/x
  3. Step 3: Cross multiply
    20.84x = 31.10 × 19.33
  4. Step 4: Simplify right side
    20.84x = 601.10
  5. Step 5: Solve for x
    x = 601.10/20.84
  6. Step 6: Final answer
    x = 28.85

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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.