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Finding the Fourth Proportional to 119.64, 178.83 and 116.61

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Solution

The fourth proportional to 119.64, 178.83 and 116.61 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 178.83 = 116.61 : x
  2. Step 2: Convert to fraction form
    119.64/178.83 = 116.61/x
  3. Step 3: Cross multiply
    119.64x = 178.83 × 116.61
  4. Step 4: Simplify right side
    119.64x = 20,853.37
  5. Step 5: Solve for x
    x = 20,853.37/119.64
  6. Step 6: Final answer
    x = 174.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.