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Finding the Fourth Proportional to 39.67, 59.62 and 33.05

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Solution

The fourth proportional to 39.67, 59.62 and 33.05 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.67 : 59.62 = 33.05 : x
  2. Step 2: Convert to fraction form
    39.67/59.62 = 33.05/x
  3. Step 3: Cross multiply
    39.67x = 59.62 × 33.05
  4. Step 4: Simplify right side
    39.67x = 1,970.44
  5. Step 5: Solve for x
    x = 1,970.44/39.67
  6. Step 6: Final answer
    x = 49.67

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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.