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Finding the Fourth Proportional to 118.09, 176.74 and 79.48

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Solution

The fourth proportional to 118.09, 176.74 and 79.48 is: 118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 176.74 = 79.48 : x
  2. Step 2: Convert to fraction form
    118.09/176.74 = 79.48/x
  3. Step 3: Cross multiply
    118.09x = 176.74 × 79.48
  4. Step 4: Simplify right side
    118.09x = 14,047.30
  5. Step 5: Solve for x
    x = 14,047.30/118.09
  6. Step 6: Final answer
    x = 118.95

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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.