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Finding the Fourth Proportional to 118.46, 177.73 and 77.84

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Solution

The fourth proportional to 118.46, 177.73 and 77.84 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.46 : 177.73 = 77.84 : x
  2. Step 2: Convert to fraction form
    118.46/177.73 = 77.84/x
  3. Step 3: Cross multiply
    118.46x = 177.73 × 77.84
  4. Step 4: Simplify right side
    118.46x = 13,833.23
  5. Step 5: Solve for x
    x = 13,833.23/118.46
  6. Step 6: Final answer
    x = 116.78

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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.