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Finding the Fourth Proportional to 120.50, 180.75 and 44.50

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Solution

The fourth proportional to 120.50, 180.75 and 44.50 is: 66.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 180.75 = 44.50 : x
  2. Step 2: Convert to fraction form
    120.50/180.75 = 44.50/x
  3. Step 3: Cross multiply
    120.50x = 180.75 × 44.50
  4. Step 4: Simplify right side
    120.50x = 8,043.38
  5. Step 5: Solve for x
    x = 8,043.38/120.50
  6. Step 6: Final answer
    x = 66.75

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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.