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Finding the Fourth Proportional to 155.26, 232.54 and 120.75

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Solution

The fourth proportional to 155.26, 232.54 and 120.75 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 232.54 = 120.75 : x
  2. Step 2: Convert to fraction form
    155.26/232.54 = 120.75/x
  3. Step 3: Cross multiply
    155.26x = 232.54 × 120.75
  4. Step 4: Simplify right side
    155.26x = 28,078.60
  5. Step 5: Solve for x
    x = 28,078.60/155.26
  6. Step 6: Final answer
    x = 180.85

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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.