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Finding the Fourth Proportional to 118.40, 163.20 and 87.35

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Solution

The fourth proportional to 118.40, 163.20 and 87.35 is: 120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 163.20 = 87.35 : x
  2. Step 2: Convert to fraction form
    118.40/163.20 = 87.35/x
  3. Step 3: Cross multiply
    118.40x = 163.20 × 87.35
  4. Step 4: Simplify right side
    118.40x = 14,255.52
  5. Step 5: Solve for x
    x = 14,255.52/118.40
  6. Step 6: Final answer
    x = 120.40

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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.