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Finding the Fourth Proportional to 113.11, 155.96 and 83.64

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Solution

The fourth proportional to 113.11, 155.96 and 83.64 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.11 : 155.96 = 83.64 : x
  2. Step 2: Convert to fraction form
    113.11/155.96 = 83.64/x
  3. Step 3: Cross multiply
    113.11x = 155.96 × 83.64
  4. Step 4: Simplify right side
    113.11x = 13,044.97
  5. Step 5: Solve for x
    x = 13,044.97/113.11
  6. Step 6: Final answer
    x = 115.33

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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.