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Finding the Fourth Proportional to 195.01, 292.57 and 103.69

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Solution

The fourth proportional to 195.01, 292.57 and 103.69 is: 155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.01 : 292.57 = 103.69 : x
  2. Step 2: Convert to fraction form
    195.01/292.57 = 103.69/x
  3. Step 3: Cross multiply
    195.01x = 292.57 × 103.69
  4. Step 4: Simplify right side
    195.01x = 30,336.06
  5. Step 5: Solve for x
    x = 30,336.06/195.01
  6. Step 6: Final answer
    x = 155.56

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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.