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Finding the Fourth Proportional to 120.02, 180.09 and 65.97

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Solution

The fourth proportional to 120.02, 180.09 and 65.97 is: 98.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 180.09 = 65.97 : x
  2. Step 2: Convert to fraction form
    120.02/180.09 = 65.97/x
  3. Step 3: Cross multiply
    120.02x = 180.09 × 65.97
  4. Step 4: Simplify right side
    120.02x = 11,880.54
  5. Step 5: Solve for x
    x = 11,880.54/120.02
  6. Step 6: Final answer
    x = 98.99

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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.