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Finding the Fourth Proportional to 195.07, 269.19 and 106.54

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Solution

The fourth proportional to 195.07, 269.19 and 106.54 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.07 : 269.19 = 106.54 : x
  2. Step 2: Convert to fraction form
    195.07/269.19 = 106.54/x
  3. Step 3: Cross multiply
    195.07x = 269.19 × 106.54
  4. Step 4: Simplify right side
    195.07x = 28,679.50
  5. Step 5: Solve for x
    x = 28,679.50/195.07
  6. Step 6: Final answer
    x = 147.02

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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.