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Finding the Fourth Proportional to 119.58, 164.94 and 105.75

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Solution

The fourth proportional to 119.58, 164.94 and 105.75 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.58 : 164.94 = 105.75 : x
  2. Step 2: Convert to fraction form
    119.58/164.94 = 105.75/x
  3. Step 3: Cross multiply
    119.58x = 164.94 × 105.75
  4. Step 4: Simplify right side
    119.58x = 17,442.41
  5. Step 5: Solve for x
    x = 17,442.41/119.58
  6. Step 6: Final answer
    x = 145.86

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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.