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Finding the Fourth Proportional to 195.09, 292.46 and 66.75

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Solution

The fourth proportional to 195.09, 292.46 and 66.75 is: 100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 292.46 = 66.75 : x
  2. Step 2: Convert to fraction form
    195.09/292.46 = 66.75/x
  3. Step 3: Cross multiply
    195.09x = 292.46 × 66.75
  4. Step 4: Simplify right side
    195.09x = 19,521.37
  5. Step 5: Solve for x
    x = 19,521.37/195.09
  6. Step 6: Final answer
    x = 100.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.