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Finding the Fourth Proportional to 135.54, 202.32 and 119.34

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Solution

The fourth proportional to 135.54, 202.32 and 119.34 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 202.32 = 119.34 : x
  2. Step 2: Convert to fraction form
    135.54/202.32 = 119.34/x
  3. Step 3: Cross multiply
    135.54x = 202.32 × 119.34
  4. Step 4: Simplify right side
    135.54x = 24,144.87
  5. Step 5: Solve for x
    x = 24,144.87/135.54
  6. Step 6: Final answer
    x = 178.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.