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Finding the Fourth Proportional to 119.22, 164.64 and 105.64

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Solution

The fourth proportional to 119.22, 164.64 and 105.64 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 164.64 = 105.64 : x
  2. Step 2: Convert to fraction form
    119.22/164.64 = 105.64/x
  3. Step 3: Cross multiply
    119.22x = 164.64 × 105.64
  4. Step 4: Simplify right side
    119.22x = 17,392.57
  5. Step 5: Solve for x
    x = 17,392.57/119.22
  6. Step 6: Final answer
    x = 145.89

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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.