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Finding the Fourth Proportional to 125.40, 186.83 and 119.60

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Solution

The fourth proportional to 125.40, 186.83 and 119.60 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.40 : 186.83 = 119.60 : x
  2. Step 2: Convert to fraction form
    125.40/186.83 = 119.60/x
  3. Step 3: Cross multiply
    125.40x = 186.83 × 119.60
  4. Step 4: Simplify right side
    125.40x = 22,344.87
  5. Step 5: Solve for x
    x = 22,344.87/125.40
  6. Step 6: Final answer
    x = 178.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.