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Finding the Fourth Proportional to 120.49, 166.25 and 71.38

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Solution

The fourth proportional to 120.49, 166.25 and 71.38 is: 98.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.49 : 166.25 = 71.38 : x
  2. Step 2: Convert to fraction form
    120.49/166.25 = 71.38/x
  3. Step 3: Cross multiply
    120.49x = 166.25 × 71.38
  4. Step 4: Simplify right side
    120.49x = 11,867.31
  5. Step 5: Solve for x
    x = 11,867.31/120.49
  6. Step 6: Final answer
    x = 98.49

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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.