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Finding the Fourth Proportional to 36.07, 49.78 and 22.96

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Solution

The fourth proportional to 36.07, 49.78 and 22.96 is: 31.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 49.78 = 22.96 : x
  2. Step 2: Convert to fraction form
    36.07/49.78 = 22.96/x
  3. Step 3: Cross multiply
    36.07x = 49.78 × 22.96
  4. Step 4: Simplify right side
    36.07x = 1,143.01
  5. Step 5: Solve for x
    x = 1,143.01/36.07
  6. Step 6: Final answer
    x = 31.68

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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.