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Finding the Fourth Proportional to 118.58, 163.62 and 103.20

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Solution

The fourth proportional to 118.58, 163.62 and 103.20 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.58 : 163.62 = 103.20 : x
  2. Step 2: Convert to fraction form
    118.58/163.62 = 103.20/x
  3. Step 3: Cross multiply
    118.58x = 163.62 × 103.20
  4. Step 4: Simplify right side
    118.58x = 16,885.58
  5. Step 5: Solve for x
    x = 16,885.58/118.58
  6. Step 6: Final answer
    x = 142.40

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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.