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Finding the Fourth Proportional to 135.21, 202.94 and 96.18

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Solution

The fourth proportional to 135.21, 202.94 and 96.18 is: 144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.21 : 202.94 = 96.18 : x
  2. Step 2: Convert to fraction form
    135.21/202.94 = 96.18/x
  3. Step 3: Cross multiply
    135.21x = 202.94 × 96.18
  4. Step 4: Simplify right side
    135.21x = 19,518.29
  5. Step 5: Solve for x
    x = 19,518.29/135.21
  6. Step 6: Final answer
    x = 144.36

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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.