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Finding the Fourth Proportional to 120.06, 180.09 and 51.57

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Solution

The fourth proportional to 120.06, 180.09 and 51.57 is: 77.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 180.09 = 51.57 : x
  2. Step 2: Convert to fraction form
    120.06/180.09 = 51.57/x
  3. Step 3: Cross multiply
    120.06x = 180.09 × 51.57
  4. Step 4: Simplify right side
    120.06x = 9,287.24
  5. Step 5: Solve for x
    x = 9,287.24/120.06
  6. Step 6: Final answer
    x = 77.36

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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.