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Finding the Fourth Proportional to 118.72, 163.78 and 75.07

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Solution

The fourth proportional to 118.72, 163.78 and 75.07 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.72 : 163.78 = 75.07 : x
  2. Step 2: Convert to fraction form
    118.72/163.78 = 75.07/x
  3. Step 3: Cross multiply
    118.72x = 163.78 × 75.07
  4. Step 4: Simplify right side
    118.72x = 12,294.96
  5. Step 5: Solve for x
    x = 12,294.96/118.72
  6. Step 6: Final answer
    x = 103.56

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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.