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Finding the Fourth Proportional to 36.83, 50.93 and 32.28

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Solution

The fourth proportional to 36.83, 50.93 and 32.28 is: 44.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.83 : 50.93 = 32.28 : x
  2. Step 2: Convert to fraction form
    36.83/50.93 = 32.28/x
  3. Step 3: Cross multiply
    36.83x = 50.93 × 32.28
  4. Step 4: Simplify right side
    36.83x = 1,643.60
  5. Step 5: Solve for x
    x = 1,643.60/36.83
  6. Step 6: Final answer
    x = 44.62

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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.