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Finding the Fourth Proportional to 135.67, 185.93 and 131.05

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Solution

The fourth proportional to 135.67, 185.93 and 131.05 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.67 : 185.93 = 131.05 : x
  2. Step 2: Convert to fraction form
    135.67/185.93 = 131.05/x
  3. Step 3: Cross multiply
    135.67x = 185.93 × 131.05
  4. Step 4: Simplify right side
    135.67x = 24,366.13
  5. Step 5: Solve for x
    x = 24,366.13/135.67
  6. Step 6: Final answer
    x = 179.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.