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Finding the Fourth Proportional to 135.06, 186.33 and 83.22

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Solution

The fourth proportional to 135.06, 186.33 and 83.22 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 186.33 = 83.22 : x
  2. Step 2: Convert to fraction form
    135.06/186.33 = 83.22/x
  3. Step 3: Cross multiply
    135.06x = 186.33 × 83.22
  4. Step 4: Simplify right side
    135.06x = 15,506.38
  5. Step 5: Solve for x
    x = 15,506.38/135.06
  6. Step 6: Final answer
    x = 114.81

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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.