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Finding the Fourth Proportional to 155.06, 213.64 and 103.22

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Solution

The fourth proportional to 155.06, 213.64 and 103.22 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 213.64 = 103.22 : x
  2. Step 2: Convert to fraction form
    155.06/213.64 = 103.22/x
  3. Step 3: Cross multiply
    155.06x = 213.64 × 103.22
  4. Step 4: Simplify right side
    155.06x = 22,050.59
  5. Step 5: Solve for x
    x = 22,050.59/155.06
  6. Step 6: Final answer
    x = 142.21

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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.