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Finding the Fourth Proportional to 118.03, 176.79 and 77.28

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Solution

The fourth proportional to 118.03, 176.79 and 77.28 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.03 : 176.79 = 77.28 : x
  2. Step 2: Convert to fraction form
    118.03/176.79 = 77.28/x
  3. Step 3: Cross multiply
    118.03x = 176.79 × 77.28
  4. Step 4: Simplify right side
    118.03x = 13,662.33
  5. Step 5: Solve for x
    x = 13,662.33/118.03
  6. Step 6: Final answer
    x = 115.75

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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.