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Finding the Fourth Proportional to 120.08, 164.38 and 116.39

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Solution

The fourth proportional to 120.08, 164.38 and 116.39 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.08 : 164.38 = 116.39 : x
  2. Step 2: Convert to fraction form
    120.08/164.38 = 116.39/x
  3. Step 3: Cross multiply
    120.08x = 164.38 × 116.39
  4. Step 4: Simplify right side
    120.08x = 19,132.19
  5. Step 5: Solve for x
    x = 19,132.19/120.08
  6. Step 6: Final answer
    x = 159.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.