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Finding the Fourth Proportional to 119.12, 164.30 and 77.60

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Solution

The fourth proportional to 119.12, 164.30 and 77.60 is: 107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.12 : 164.30 = 77.60 : x
  2. Step 2: Convert to fraction form
    119.12/164.30 = 77.60/x
  3. Step 3: Cross multiply
    119.12x = 164.30 × 77.60
  4. Step 4: Simplify right side
    119.12x = 12,749.70
  5. Step 5: Solve for x
    x = 12,749.70/119.12
  6. Step 6: Final answer
    x = 107.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.