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Finding the Fourth Proportional to 28.39, 39.16 and 19.77

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Solution

The fourth proportional to 28.39, 39.16 and 19.77 is: 27.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.39 : 39.16 = 19.77 : x
  2. Step 2: Convert to fraction form
    28.39/39.16 = 19.77/x
  3. Step 3: Cross multiply
    28.39x = 39.16 × 19.77
  4. Step 4: Simplify right side
    28.39x = 774.05
  5. Step 5: Solve for x
    x = 774.05/28.39
  6. Step 6: Final answer
    x = 27.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.