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Finding the Fourth Proportional to 135.99, 203.97 and 109.10

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Solution

The fourth proportional to 135.99, 203.97 and 109.10 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.99 : 203.97 = 109.10 : x
  2. Step 2: Convert to fraction form
    135.99/203.97 = 109.10/x
  3. Step 3: Cross multiply
    135.99x = 203.97 × 109.10
  4. Step 4: Simplify right side
    135.99x = 22,253.13
  5. Step 5: Solve for x
    x = 22,253.13/135.99
  6. Step 6: Final answer
    x = 163.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.