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Finding the Fourth Proportional to 135.06, 201.38 and 132.63

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Solution

The fourth proportional to 135.06, 201.38 and 132.63 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 201.38 = 132.63 : x
  2. Step 2: Convert to fraction form
    135.06/201.38 = 132.63/x
  3. Step 3: Cross multiply
    135.06x = 201.38 × 132.63
  4. Step 4: Simplify right side
    135.06x = 26,707.69
  5. Step 5: Solve for x
    x = 26,707.69/135.06
  6. Step 6: Final answer
    x = 197.75

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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.