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Finding the Fourth Proportional to 135.07, 201.24 and 130.19

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Solution

The fourth proportional to 135.07, 201.24 and 130.19 is: 193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.07 : 201.24 = 130.19 : x
  2. Step 2: Convert to fraction form
    135.07/201.24 = 130.19/x
  3. Step 3: Cross multiply
    135.07x = 201.24 × 130.19
  4. Step 4: Simplify right side
    135.07x = 26,198.43
  5. Step 5: Solve for x
    x = 26,198.43/135.07
  6. Step 6: Final answer
    x = 193.97

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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.