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Finding the Fourth Proportional to 135.77, 203.46 and 105.19

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Solution

The fourth proportional to 135.77, 203.46 and 105.19 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 203.46 = 105.19 : x
  2. Step 2: Convert to fraction form
    135.77/203.46 = 105.19/x
  3. Step 3: Cross multiply
    135.77x = 203.46 × 105.19
  4. Step 4: Simplify right side
    135.77x = 21,401.05
  5. Step 5: Solve for x
    x = 21,401.05/135.77
  6. Step 6: Final answer
    x = 157.63

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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.