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Finding the Fourth Proportional to 112.44, 155.07 and 83.43

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Solution

The fourth proportional to 112.44, 155.07 and 83.43 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.44 : 155.07 = 83.43 : x
  2. Step 2: Convert to fraction form
    112.44/155.07 = 83.43/x
  3. Step 3: Cross multiply
    112.44x = 155.07 × 83.43
  4. Step 4: Simplify right side
    112.44x = 12,937.49
  5. Step 5: Solve for x
    x = 12,937.49/112.44
  6. Step 6: Final answer
    x = 115.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.