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Finding the Fourth Proportional to 135.14, 201.87 and 98.25

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Solution

The fourth proportional to 135.14, 201.87 and 98.25 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 201.87 = 98.25 : x
  2. Step 2: Convert to fraction form
    135.14/201.87 = 98.25/x
  3. Step 3: Cross multiply
    135.14x = 201.87 × 98.25
  4. Step 4: Simplify right side
    135.14x = 19,833.73
  5. Step 5: Solve for x
    x = 19,833.73/135.14
  6. Step 6: Final answer
    x = 146.77

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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.