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Finding the Fourth Proportional to 135.95, 203.93 and 33.24

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Solution

The fourth proportional to 135.95, 203.93 and 33.24 is: 49.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.95 : 203.93 = 33.24 : x
  2. Step 2: Convert to fraction form
    135.95/203.93 = 33.24/x
  3. Step 3: Cross multiply
    135.95x = 203.93 × 33.24
  4. Step 4: Simplify right side
    135.95x = 6,778.64
  5. Step 5: Solve for x
    x = 6,778.64/135.95
  6. Step 6: Final answer
    x = 49.86

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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.