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Finding the Fourth Proportional to 118.24, 177.05 and 81.79

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Solution

The fourth proportional to 118.24, 177.05 and 81.79 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 177.05 = 81.79 : x
  2. Step 2: Convert to fraction form
    118.24/177.05 = 81.79/x
  3. Step 3: Cross multiply
    118.24x = 177.05 × 81.79
  4. Step 4: Simplify right side
    118.24x = 14,480.37
  5. Step 5: Solve for x
    x = 14,480.37/118.24
  6. Step 6: Final answer
    x = 122.47

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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.