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Finding the Fourth Proportional to 119.04, 164.08 and 80.16

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Solution

The fourth proportional to 119.04, 164.08 and 80.16 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 164.08 = 80.16 : x
  2. Step 2: Convert to fraction form
    119.04/164.08 = 80.16/x
  3. Step 3: Cross multiply
    119.04x = 164.08 × 80.16
  4. Step 4: Simplify right side
    119.04x = 13,152.65
  5. Step 5: Solve for x
    x = 13,152.65/119.04
  6. Step 6: Final answer
    x = 110.49

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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.