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Finding the Fourth Proportional to 135.95, 203.72 and 122.15

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Solution

The fourth proportional to 135.95, 203.72 and 122.15 is: 183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.95 : 203.72 = 122.15 : x
  2. Step 2: Convert to fraction form
    135.95/203.72 = 122.15/x
  3. Step 3: Cross multiply
    135.95x = 203.72 × 122.15
  4. Step 4: Simplify right side
    135.95x = 24,884.30
  5. Step 5: Solve for x
    x = 24,884.30/135.95
  6. Step 6: Final answer
    x = 183.05

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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.