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Finding the Fourth Proportional to 36.02, 49.69 and 23.06

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Solution

The fourth proportional to 36.02, 49.69 and 23.06 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.02 : 49.69 = 23.06 : x
  2. Step 2: Convert to fraction form
    36.02/49.69 = 23.06/x
  3. Step 3: Cross multiply
    36.02x = 49.69 × 23.06
  4. Step 4: Simplify right side
    36.02x = 1,146.00
  5. Step 5: Solve for x
    x = 1,146.00/36.02
  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.