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Finding the Fourth Proportional to 187.75, 281.73 and 106.66

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Solution

The fourth proportional to 187.75, 281.73 and 106.66 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 281.73 = 106.66 : x
  2. Step 2: Convert to fraction form
    187.75/281.73 = 106.66/x
  3. Step 3: Cross multiply
    187.75x = 281.73 × 106.66
  4. Step 4: Simplify right side
    187.75x = 30,047.91
  5. Step 5: Solve for x
    x = 30,047.91/187.75
  6. Step 6: Final answer
    x = 160.05

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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.