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Finding the Fourth Proportional to 36.96, 51.04 and 31.80

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Solution

The fourth proportional to 36.96, 51.04 and 31.80 is: 43.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.96 : 51.04 = 31.80 : x
  2. Step 2: Convert to fraction form
    36.96/51.04 = 31.80/x
  3. Step 3: Cross multiply
    36.96x = 51.04 × 31.80
  4. Step 4: Simplify right side
    36.96x = 1,623.07
  5. Step 5: Solve for x
    x = 1,623.07/36.96
  6. Step 6: Final answer
    x = 43.91

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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.