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Finding the Fourth Proportional to 118.14, 163.02 and 69.00

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Solution

The fourth proportional to 118.14, 163.02 and 69.00 is: 95.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 163.02 = 69.00 : x
  2. Step 2: Convert to fraction form
    118.14/163.02 = 69.00/x
  3. Step 3: Cross multiply
    118.14x = 163.02 × 69.00
  4. Step 4: Simplify right side
    118.14x = 11,248.03
  5. Step 5: Solve for x
    x = 11,248.03/118.14
  6. Step 6: Final answer
    x = 95.21

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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.