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Finding the Fourth Proportional to 118.63, 163.70 and 69.50

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Solution

The fourth proportional to 118.63, 163.70 and 69.50 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.63 : 163.70 = 69.50 : x
  2. Step 2: Convert to fraction form
    118.63/163.70 = 69.50/x
  3. Step 3: Cross multiply
    118.63x = 163.70 × 69.50
  4. Step 4: Simplify right side
    118.63x = 11,376.80
  5. Step 5: Solve for x
    x = 11,376.80/118.63
  6. Step 6: Final answer
    x = 95.91

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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.