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Finding the Fourth Proportional to 135.75, 202.52 and 132.03

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Solution

The fourth proportional to 135.75, 202.52 and 132.03 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 202.52 = 132.03 : x
  2. Step 2: Convert to fraction form
    135.75/202.52 = 132.03/x
  3. Step 3: Cross multiply
    135.75x = 202.52 × 132.03
  4. Step 4: Simplify right side
    135.75x = 26,738.06
  5. Step 5: Solve for x
    x = 26,738.06/135.75
  6. Step 6: Final answer
    x = 196.97

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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.