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Finding the Fourth Proportional to 119.42, 164.61 and 84.49

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Solution

The fourth proportional to 119.42, 164.61 and 84.49 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.42 : 164.61 = 84.49 : x
  2. Step 2: Convert to fraction form
    119.42/164.61 = 84.49/x
  3. Step 3: Cross multiply
    119.42x = 164.61 × 84.49
  4. Step 4: Simplify right side
    119.42x = 13,907.90
  5. Step 5: Solve for x
    x = 13,907.90/119.42
  6. Step 6: Final answer
    x = 116.46

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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.