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Finding the Fourth Proportional to 118.40, 163.23 and 102.02

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Solution

The fourth proportional to 118.40, 163.23 and 102.02 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 163.23 = 102.02 : x
  2. Step 2: Convert to fraction form
    118.40/163.23 = 102.02/x
  3. Step 3: Cross multiply
    118.40x = 163.23 × 102.02
  4. Step 4: Simplify right side
    118.40x = 16,652.72
  5. Step 5: Solve for x
    x = 16,652.72/118.40
  6. Step 6: Final answer
    x = 140.65

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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.