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Finding the Fourth Proportional to 118.50, 163.14 and 102.04

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Solution

The fourth proportional to 118.50, 163.14 and 102.04 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 163.14 = 102.04 : x
  2. Step 2: Convert to fraction form
    118.50/163.14 = 102.04/x
  3. Step 3: Cross multiply
    118.50x = 163.14 × 102.04
  4. Step 4: Simplify right side
    118.50x = 16,646.81
  5. Step 5: Solve for x
    x = 16,646.81/118.50
  6. Step 6: Final answer
    x = 140.48

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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.