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Finding the Fourth Proportional to 28.97, 39.94 and 23.77

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Solution

The fourth proportional to 28.97, 39.94 and 23.77 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.97 : 39.94 = 23.77 : x
  2. Step 2: Convert to fraction form
    28.97/39.94 = 23.77/x
  3. Step 3: Cross multiply
    28.97x = 39.94 × 23.77
  4. Step 4: Simplify right side
    28.97x = 949.37
  5. Step 5: Solve for x
    x = 949.37/28.97
  6. Step 6: Final answer
    x = 32.77

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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.