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Finding the Fourth Proportional to 119.94, 180.09 and 117.96

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Solution

The fourth proportional to 119.94, 180.09 and 117.96 is: 177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.94 : 180.09 = 117.96 : x
  2. Step 2: Convert to fraction form
    119.94/180.09 = 117.96/x
  3. Step 3: Cross multiply
    119.94x = 180.09 × 117.96
  4. Step 4: Simplify right side
    119.94x = 21,243.42
  5. Step 5: Solve for x
    x = 21,243.42/119.94
  6. Step 6: Final answer
    x = 177.12

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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.