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Finding the Fourth Proportional to 119.12, 164.22 and 102.48

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Solution

The fourth proportional to 119.12, 164.22 and 102.48 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.12 : 164.22 = 102.48 : x
  2. Step 2: Convert to fraction form
    119.12/164.22 = 102.48/x
  3. Step 3: Cross multiply
    119.12x = 164.22 × 102.48
  4. Step 4: Simplify right side
    119.12x = 16,829.27
  5. Step 5: Solve for x
    x = 16,829.27/119.12
  6. Step 6: Final answer
    x = 141.29

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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.