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Finding the Fourth Proportional to 36.50, 54.69 and 30.83

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Solution

The fourth proportional to 36.50, 54.69 and 30.83 is: 46.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 54.69 = 30.83 : x
  2. Step 2: Convert to fraction form
    36.50/54.69 = 30.83/x
  3. Step 3: Cross multiply
    36.50x = 54.69 × 30.83
  4. Step 4: Simplify right side
    36.50x = 1,686.18
  5. Step 5: Solve for x
    x = 1,686.18/36.50
  6. Step 6: Final answer
    x = 46.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.