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Finding the Fourth Proportional to 119.66, 179.48 and 51.23

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Solution

The fourth proportional to 119.66, 179.48 and 51.23 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.66 : 179.48 = 51.23 : x
  2. Step 2: Convert to fraction form
    119.66/179.48 = 51.23/x
  3. Step 3: Cross multiply
    119.66x = 179.48 × 51.23
  4. Step 4: Simplify right side
    119.66x = 9,194.76
  5. Step 5: Solve for x
    x = 9,194.76/119.66
  6. Step 6: Final answer
    x = 76.84

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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.