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Finding the Fourth Proportional to 135.37, 201.55 and 133.45

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Solution

The fourth proportional to 135.37, 201.55 and 133.45 is: 198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.37 : 201.55 = 133.45 : x
  2. Step 2: Convert to fraction form
    135.37/201.55 = 133.45/x
  3. Step 3: Cross multiply
    135.37x = 201.55 × 133.45
  4. Step 4: Simplify right side
    135.37x = 26,896.01
  5. Step 5: Solve for x
    x = 26,896.01/135.37
  6. Step 6: Final answer
    x = 198.69

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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.