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Finding the Fourth Proportional to 36.12, 49.82 and 23.00

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Solution

The fourth proportional to 36.12, 49.82 and 23.00 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.12 : 49.82 = 23.00 : x
  2. Step 2: Convert to fraction form
    36.12/49.82 = 23.00/x
  3. Step 3: Cross multiply
    36.12x = 49.82 × 23.00
  4. Step 4: Simplify right side
    36.12x = 1,145.50
  5. Step 5: Solve for x
    x = 1,145.50/36.12
  6. Step 6: Final answer
    x = 31.71

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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.