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Finding the Fourth Proportional to 36.06, 49.78 and 23.12

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Solution

The fourth proportional to 36.06, 49.78 and 23.12 is: 31.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.06 : 49.78 = 23.12 : x
  2. Step 2: Convert to fraction form
    36.06/49.78 = 23.12/x
  3. Step 3: Cross multiply
    36.06x = 49.78 × 23.12
  4. Step 4: Simplify right side
    36.06x = 1,150.91
  5. Step 5: Solve for x
    x = 1,150.91/36.06
  6. Step 6: Final answer
    x = 31.92

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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.