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Finding the Fourth Proportional to 135.44, 202.97 and 111.68

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Solution

The fourth proportional to 135.44, 202.97 and 111.68 is: 167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.44 : 202.97 = 111.68 : x
  2. Step 2: Convert to fraction form
    135.44/202.97 = 111.68/x
  3. Step 3: Cross multiply
    135.44x = 202.97 × 111.68
  4. Step 4: Simplify right side
    135.44x = 22,666.95
  5. Step 5: Solve for x
    x = 22,666.95/135.44
  6. Step 6: Final answer
    x = 167.36

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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.