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Finding the Fourth Proportional to 119.07, 164.03 and 82.16

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Solution

The fourth proportional to 119.07, 164.03 and 82.16 is: 113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 164.03 = 82.16 : x
  2. Step 2: Convert to fraction form
    119.07/164.03 = 82.16/x
  3. Step 3: Cross multiply
    119.07x = 164.03 × 82.16
  4. Step 4: Simplify right side
    119.07x = 13,477.01
  5. Step 5: Solve for x
    x = 13,477.01/119.07
  6. Step 6: Final answer
    x = 113.19

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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.