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Finding the Fourth Proportional to 120.14, 180.34 and 84.23

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Solution

The fourth proportional to 120.14, 180.34 and 84.23 is: 126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 180.34 = 84.23 : x
  2. Step 2: Convert to fraction form
    120.14/180.34 = 84.23/x
  3. Step 3: Cross multiply
    120.14x = 180.34 × 84.23
  4. Step 4: Simplify right side
    120.14x = 15,188.93
  5. Step 5: Solve for x
    x = 15,188.93/120.14
  6. Step 6: Final answer
    x = 126.43

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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.