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Finding the Fourth Proportional to 155.74, 214.68 and 118.78

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Solution

The fourth proportional to 155.74, 214.68 and 118.78 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.74 : 214.68 = 118.78 : x
  2. Step 2: Convert to fraction form
    155.74/214.68 = 118.78/x
  3. Step 3: Cross multiply
    155.74x = 214.68 × 118.78
  4. Step 4: Simplify right side
    155.74x = 25,499.69
  5. Step 5: Solve for x
    x = 25,499.69/155.74
  6. Step 6: Final answer
    x = 163.73

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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.