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Finding the Fourth Proportional to 119.97, 179.83 and 59.07

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Solution

The fourth proportional to 119.97, 179.83 and 59.07 is: 88.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 179.83 = 59.07 : x
  2. Step 2: Convert to fraction form
    119.97/179.83 = 59.07/x
  3. Step 3: Cross multiply
    119.97x = 179.83 × 59.07
  4. Step 4: Simplify right side
    119.97x = 10,622.41
  5. Step 5: Solve for x
    x = 10,622.41/119.97
  6. Step 6: Final answer
    x = 88.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.