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Finding the Fourth Proportional to 123.00, 184.46 and 36.31

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Solution

The fourth proportional to 123.00, 184.46 and 36.31 is: 54.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.00 : 184.46 = 36.31 : x
  2. Step 2: Convert to fraction form
    123.00/184.46 = 36.31/x
  3. Step 3: Cross multiply
    123.00x = 184.46 × 36.31
  4. Step 4: Simplify right side
    123.00x = 6,698.27
  5. Step 5: Solve for x
    x = 6,698.27/123.00
  6. Step 6: Final answer
    x = 54.46

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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.