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Finding the Fourth Proportional to 125.78, 188.42 and 119.22

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Solution

The fourth proportional to 125.78, 188.42 and 119.22 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 188.42 = 119.22 : x
  2. Step 2: Convert to fraction form
    125.78/188.42 = 119.22/x
  3. Step 3: Cross multiply
    125.78x = 188.42 × 119.22
  4. Step 4: Simplify right side
    125.78x = 22,463.43
  5. Step 5: Solve for x
    x = 22,463.43/125.78
  6. Step 6: Final answer
    x = 178.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.