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Finding the Fourth Proportional to 135.19, 185.97 and 128.44

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Solution

The fourth proportional to 135.19, 185.97 and 128.44 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.19 : 185.97 = 128.44 : x
  2. Step 2: Convert to fraction form
    135.19/185.97 = 128.44/x
  3. Step 3: Cross multiply
    135.19x = 185.97 × 128.44
  4. Step 4: Simplify right side
    135.19x = 23,885.99
  5. Step 5: Solve for x
    x = 23,885.99/135.19
  6. Step 6: Final answer
    x = 176.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.