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Finding the Fourth Proportional to 119.32, 179.02 and 47.14

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Solution

The fourth proportional to 119.32, 179.02 and 47.14 is: 70.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.32 : 179.02 = 47.14 : x
  2. Step 2: Convert to fraction form
    119.32/179.02 = 47.14/x
  3. Step 3: Cross multiply
    119.32x = 179.02 × 47.14
  4. Step 4: Simplify right side
    119.32x = 8,439.00
  5. Step 5: Solve for x
    x = 8,439.00/119.32
  6. Step 6: Final answer
    x = 70.73

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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.