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Finding the Third Proportional to 102.19 and 155.44

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Solution

The third proportional to 102.19 and 155.44 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 155.44 = 155.44 : x
  2. Step 2: Convert to fraction form
    102.19/155.44 = 155.44/x
  3. Step 3: Cross multiply
    102.19x = 155.44 × 155.44
  4. Step 4: Simplify right side
    102.19x = 24,160.82
  5. Step 5: Solve for x
    x = 24,160.82/102.19
  6. Step 6: Final answer
    x = 236.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.