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Finding the Fourth Proportional to 135.96, 204.23 and 118.33

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Solution

The fourth proportional to 135.96, 204.23 and 118.33 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.96 : 204.23 = 118.33 : x
  2. Step 2: Convert to fraction form
    135.96/204.23 = 118.33/x
  3. Step 3: Cross multiply
    135.96x = 204.23 × 118.33
  4. Step 4: Simplify right side
    135.96x = 24,166.54
  5. Step 5: Solve for x
    x = 24,166.54/135.96
  6. Step 6: Final answer
    x = 177.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.