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Finding the Fourth Proportional to 135.38, 202.74 and 113.70

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Solution

The fourth proportional to 135.38, 202.74 and 113.70 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 202.74 = 113.70 : x
  2. Step 2: Convert to fraction form
    135.38/202.74 = 113.70/x
  3. Step 3: Cross multiply
    135.38x = 202.74 × 113.70
  4. Step 4: Simplify right side
    135.38x = 23,051.54
  5. Step 5: Solve for x
    x = 23,051.54/135.38
  6. Step 6: Final answer
    x = 170.28

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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.