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Finding the Fourth Proportional to 135.94, 205.08 and 135.68

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Solution

The fourth proportional to 135.94, 205.08 and 135.68 is: 204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 205.08 = 135.68 : x
  2. Step 2: Convert to fraction form
    135.94/205.08 = 135.68/x
  3. Step 3: Cross multiply
    135.94x = 205.08 × 135.68
  4. Step 4: Simplify right side
    135.94x = 27,825.25
  5. Step 5: Solve for x
    x = 27,825.25/135.94
  6. Step 6: Final answer
    x = 204.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.