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Finding the Fourth Proportional to 119.49, 179.16 and 57.78

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Solution

The fourth proportional to 119.49, 179.16 and 57.78 is: 86.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.49 : 179.16 = 57.78 : x
  2. Step 2: Convert to fraction form
    119.49/179.16 = 57.78/x
  3. Step 3: Cross multiply
    119.49x = 179.16 × 57.78
  4. Step 4: Simplify right side
    119.49x = 10,351.86
  5. Step 5: Solve for x
    x = 10,351.86/119.49
  6. Step 6: Final answer
    x = 86.63

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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.