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Finding the Fourth Proportional to 155.37, 214.26 and 113.79

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Solution

The fourth proportional to 155.37, 214.26 and 113.79 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.37 : 214.26 = 113.79 : x
  2. Step 2: Convert to fraction form
    155.37/214.26 = 113.79/x
  3. Step 3: Cross multiply
    155.37x = 214.26 × 113.79
  4. Step 4: Simplify right side
    155.37x = 24,380.88
  5. Step 5: Solve for x
    x = 24,380.88/155.37
  6. Step 6: Final answer
    x = 156.92

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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.