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Finding the Fourth Proportional to 120.26, 180.53 and 94.55

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Solution

The fourth proportional to 120.26, 180.53 and 94.55 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 180.53 = 94.55 : x
  2. Step 2: Convert to fraction form
    120.26/180.53 = 94.55/x
  3. Step 3: Cross multiply
    120.26x = 180.53 × 94.55
  4. Step 4: Simplify right side
    120.26x = 17,067.74
  5. Step 5: Solve for x
    x = 17,067.74/120.26
  6. Step 6: Final answer
    x = 141.93

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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.