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Finding the Fourth Proportional to 119.31, 178.61 and 87.27

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Solution

The fourth proportional to 119.31, 178.61 and 87.27 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 178.61 = 87.27 : x
  2. Step 2: Convert to fraction form
    119.31/178.61 = 87.27/x
  3. Step 3: Cross multiply
    119.31x = 178.61 × 87.27
  4. Step 4: Simplify right side
    119.31x = 15,586.86
  5. Step 5: Solve for x
    x = 15,586.86/119.31
  6. Step 6: Final answer
    x = 130.64

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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.