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Finding the Fourth Proportional to 118.20, 176.90 and 97.95

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Solution

The fourth proportional to 118.20, 176.90 and 97.95 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 176.90 = 97.95 : x
  2. Step 2: Convert to fraction form
    118.20/176.90 = 97.95/x
  3. Step 3: Cross multiply
    118.20x = 176.90 × 97.95
  4. Step 4: Simplify right side
    118.20x = 17,326.87
  5. Step 5: Solve for x
    x = 17,326.87/118.20
  6. Step 6: Final answer
    x = 146.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.