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Finding the Fourth Proportional to 119.66, 179.70 and 77.18

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Solution

The fourth proportional to 119.66, 179.70 and 77.18 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.66 : 179.70 = 77.18 : x
  2. Step 2: Convert to fraction form
    119.66/179.70 = 77.18/x
  3. Step 3: Cross multiply
    119.66x = 179.70 × 77.18
  4. Step 4: Simplify right side
    119.66x = 13,869.25
  5. Step 5: Solve for x
    x = 13,869.25/119.66
  6. Step 6: Final answer
    x = 115.91

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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.