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Finding the Fourth Proportional to 155.44, 214.32 and 120.43

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Solution

The fourth proportional to 155.44, 214.32 and 120.43 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 214.32 = 120.43 : x
  2. Step 2: Convert to fraction form
    155.44/214.32 = 120.43/x
  3. Step 3: Cross multiply
    155.44x = 214.32 × 120.43
  4. Step 4: Simplify right side
    155.44x = 25,810.56
  5. Step 5: Solve for x
    x = 25,810.56/155.44
  6. Step 6: Final answer
    x = 166.05

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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.