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Finding the Fourth Proportional to 155.57, 214.39 and 111.83

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Solution

The fourth proportional to 155.57, 214.39 and 111.83 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.57 : 214.39 = 111.83 : x
  2. Step 2: Convert to fraction form
    155.57/214.39 = 111.83/x
  3. Step 3: Cross multiply
    155.57x = 214.39 × 111.83
  4. Step 4: Simplify right side
    155.57x = 23,975.23
  5. Step 5: Solve for x
    x = 23,975.23/155.57
  6. Step 6: Final answer
    x = 154.11

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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.