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Finding the Fourth Proportional to 119.36, 178.80 and 109.16

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Solution

The fourth proportional to 119.36, 178.80 and 109.16 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 178.80 = 109.16 : x
  2. Step 2: Convert to fraction form
    119.36/178.80 = 109.16/x
  3. Step 3: Cross multiply
    119.36x = 178.80 × 109.16
  4. Step 4: Simplify right side
    119.36x = 19,517.81
  5. Step 5: Solve for x
    x = 19,517.81/119.36
  6. Step 6: Final answer
    x = 163.52

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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.