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Finding the Fourth Proportional to 119.74, 179.53 and 51.23

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Solution

The fourth proportional to 119.74, 179.53 and 51.23 is: 76.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 179.53 = 51.23 : x
  2. Step 2: Convert to fraction form
    119.74/179.53 = 51.23/x
  3. Step 3: Cross multiply
    119.74x = 179.53 × 51.23
  4. Step 4: Simplify right side
    119.74x = 9,197.32
  5. Step 5: Solve for x
    x = 9,197.32/119.74
  6. Step 6: Final answer
    x = 76.81

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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.