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Finding the Fourth Proportional to 119.14, 178.84 and 67.88

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Solution

The fourth proportional to 119.14, 178.84 and 67.88 is: 101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.14 : 178.84 = 67.88 : x
  2. Step 2: Convert to fraction form
    119.14/178.84 = 67.88/x
  3. Step 3: Cross multiply
    119.14x = 178.84 × 67.88
  4. Step 4: Simplify right side
    119.14x = 12,139.32
  5. Step 5: Solve for x
    x = 12,139.32/119.14
  6. Step 6: Final answer
    x = 101.89

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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.