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Finding the Fourth Proportional to 135.89, 203.64 and 105.31

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Solution

The fourth proportional to 135.89, 203.64 and 105.31 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.89 : 203.64 = 105.31 : x
  2. Step 2: Convert to fraction form
    135.89/203.64 = 105.31/x
  3. Step 3: Cross multiply
    135.89x = 203.64 × 105.31
  4. Step 4: Simplify right side
    135.89x = 21,445.33
  5. Step 5: Solve for x
    x = 21,445.33/135.89
  6. Step 6: Final answer
    x = 157.81

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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.