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Finding the Fourth Proportional to 119.20, 164.47 and 67.45

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Solution

The fourth proportional to 119.20, 164.47 and 67.45 is: 93.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 164.47 = 67.45 : x
  2. Step 2: Convert to fraction form
    119.20/164.47 = 67.45/x
  3. Step 3: Cross multiply
    119.20x = 164.47 × 67.45
  4. Step 4: Simplify right side
    119.20x = 11,093.50
  5. Step 5: Solve for x
    x = 11,093.50/119.20
  6. Step 6: Final answer
    x = 93.07

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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.