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Finding the Fourth Proportional to 119.69, 179.41 and 46.51

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Solution

The fourth proportional to 119.69, 179.41 and 46.51 is: 69.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.69 : 179.41 = 46.51 : x
  2. Step 2: Convert to fraction form
    119.69/179.41 = 46.51/x
  3. Step 3: Cross multiply
    119.69x = 179.41 × 46.51
  4. Step 4: Simplify right side
    119.69x = 8,344.36
  5. Step 5: Solve for x
    x = 8,344.36/119.69
  6. Step 6: Final answer
    x = 69.72

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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.