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Finding the Fourth Proportional to 155.26, 213.98 and 127.44

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Solution

The fourth proportional to 155.26, 213.98 and 127.44 is: 175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 213.98 = 127.44 : x
  2. Step 2: Convert to fraction form
    155.26/213.98 = 127.44/x
  3. Step 3: Cross multiply
    155.26x = 213.98 × 127.44
  4. Step 4: Simplify right side
    155.26x = 27,269.61
  5. Step 5: Solve for x
    x = 27,269.61/155.26
  6. Step 6: Final answer
    x = 175.64

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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.