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Finding the Fourth Proportional to 119.70, 179.64 and 83.76

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Solution

The fourth proportional to 119.70, 179.64 and 83.76 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 179.64 = 83.76 : x
  2. Step 2: Convert to fraction form
    119.70/179.64 = 83.76/x
  3. Step 3: Cross multiply
    119.70x = 179.64 × 83.76
  4. Step 4: Simplify right side
    119.70x = 15,046.65
  5. Step 5: Solve for x
    x = 15,046.65/119.70
  6. Step 6: Final answer
    x = 125.70

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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.