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Finding the Fourth Proportional to 135.24, 202.97 and 128.85

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Solution

The fourth proportional to 135.24, 202.97 and 128.85 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 202.97 = 128.85 : x
  2. Step 2: Convert to fraction form
    135.24/202.97 = 128.85/x
  3. Step 3: Cross multiply
    135.24x = 202.97 × 128.85
  4. Step 4: Simplify right side
    135.24x = 26,152.68
  5. Step 5: Solve for x
    x = 26,152.68/135.24
  6. Step 6: Final answer
    x = 193.38

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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.