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Finding the Fourth Proportional to 125.09, 187.87 and 106.97

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Solution

The fourth proportional to 125.09, 187.87 and 106.97 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 187.87 = 106.97 : x
  2. Step 2: Convert to fraction form
    125.09/187.87 = 106.97/x
  3. Step 3: Cross multiply
    125.09x = 187.87 × 106.97
  4. Step 4: Simplify right side
    125.09x = 20,096.50
  5. Step 5: Solve for x
    x = 20,096.50/125.09
  6. Step 6: Final answer
    x = 160.65

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Why These Related Problems?

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