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Finding the Fourth Proportional to 36.06, 49.45 and 32.41

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Solution

The fourth proportional to 36.06, 49.45 and 32.41 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.06 : 49.45 = 32.41 : x
  2. Step 2: Convert to fraction form
    36.06/49.45 = 32.41/x
  3. Step 3: Cross multiply
    36.06x = 49.45 × 32.41
  4. Step 4: Simplify right side
    36.06x = 1,602.67
  5. Step 5: Solve for x
    x = 1,602.67/36.06
  6. Step 6: Final answer
    x = 44.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.