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Finding the Fourth Proportional to 135.09, 201.90 and 109.14

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Solution

The fourth proportional to 135.09, 201.90 and 109.14 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 201.90 = 109.14 : x
  2. Step 2: Convert to fraction form
    135.09/201.90 = 109.14/x
  3. Step 3: Cross multiply
    135.09x = 201.90 × 109.14
  4. Step 4: Simplify right side
    135.09x = 22,035.37
  5. Step 5: Solve for x
    x = 22,035.37/135.09
  6. Step 6: Final answer
    x = 163.12

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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.