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Finding the Fourth Proportional to 119.10, 178.57 and 77.96

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Solution

The fourth proportional to 119.10, 178.57 and 77.96 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 178.57 = 77.96 : x
  2. Step 2: Convert to fraction form
    119.10/178.57 = 77.96/x
  3. Step 3: Cross multiply
    119.10x = 178.57 × 77.96
  4. Step 4: Simplify right side
    119.10x = 13,921.86
  5. Step 5: Solve for x
    x = 13,921.86/119.10
  6. Step 6: Final answer
    x = 116.89

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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.