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Finding the Fourth Proportional to 28.55, 39.33 and 23.09

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Solution

The fourth proportional to 28.55, 39.33 and 23.09 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.55 : 39.33 = 23.09 : x
  2. Step 2: Convert to fraction form
    28.55/39.33 = 23.09/x
  3. Step 3: Cross multiply
    28.55x = 39.33 × 23.09
  4. Step 4: Simplify right side
    28.55x = 907.93
  5. Step 5: Solve for x
    x = 907.93/28.55
  6. Step 6: Final answer
    x = 31.81

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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.