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Finding the Fourth Proportional to 135.81, 202.56 and 131.31

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Solution

The fourth proportional to 135.81, 202.56 and 131.31 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.81 : 202.56 = 131.31 : x
  2. Step 2: Convert to fraction form
    135.81/202.56 = 131.31/x
  3. Step 3: Cross multiply
    135.81x = 202.56 × 131.31
  4. Step 4: Simplify right side
    135.81x = 26,598.15
  5. Step 5: Solve for x
    x = 26,598.15/135.81
  6. Step 6: Final answer
    x = 195.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.