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Finding the Fourth Proportional to 135.53, 186.73 and 98.61

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Solution

The fourth proportional to 135.53, 186.73 and 98.61 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 186.73 = 98.61 : x
  2. Step 2: Convert to fraction form
    135.53/186.73 = 98.61/x
  3. Step 3: Cross multiply
    135.53x = 186.73 × 98.61
  4. Step 4: Simplify right side
    135.53x = 18,413.45
  5. Step 5: Solve for x
    x = 18,413.45/135.53
  6. Step 6: Final answer
    x = 135.86

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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.