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Finding the Fourth Proportional to 155.06, 214.06 and 120.44

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Solution

The fourth proportional to 155.06, 214.06 and 120.44 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 214.06 = 120.44 : x
  2. Step 2: Convert to fraction form
    155.06/214.06 = 120.44/x
  3. Step 3: Cross multiply
    155.06x = 214.06 × 120.44
  4. Step 4: Simplify right side
    155.06x = 25,781.39
  5. Step 5: Solve for x
    x = 25,781.39/155.06
  6. Step 6: Final answer
    x = 166.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.