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Finding the Fourth Proportional to 119.97, 180.02 and 51.47

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Solution

The fourth proportional to 119.97, 180.02 and 51.47 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 180.02 = 51.47 : x
  2. Step 2: Convert to fraction form
    119.97/180.02 = 51.47/x
  3. Step 3: Cross multiply
    119.97x = 180.02 × 51.47
  4. Step 4: Simplify right side
    119.97x = 9,266.05
  5. Step 5: Solve for x
    x = 9,266.05/119.97
  6. Step 6: Final answer
    x = 77.24

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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.