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Finding the Fourth Proportional to 119.67, 164.86 and 97.80

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Solution

The fourth proportional to 119.67, 164.86 and 97.80 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.67 : 164.86 = 97.80 : x
  2. Step 2: Convert to fraction form
    119.67/164.86 = 97.80/x
  3. Step 3: Cross multiply
    119.67x = 164.86 × 97.80
  4. Step 4: Simplify right side
    119.67x = 16,123.31
  5. Step 5: Solve for x
    x = 16,123.31/119.67
  6. Step 6: Final answer
    x = 134.73

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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.