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Finding the Fourth Proportional to 119.31, 164.65 and 67.56

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Solution

The fourth proportional to 119.31, 164.65 and 67.56 is: 93.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 164.65 = 67.56 : x
  2. Step 2: Convert to fraction form
    119.31/164.65 = 67.56/x
  3. Step 3: Cross multiply
    119.31x = 164.65 × 67.56
  4. Step 4: Simplify right side
    119.31x = 11,123.75
  5. Step 5: Solve for x
    x = 11,123.75/119.31
  6. Step 6: Final answer
    x = 93.23

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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.