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Finding the Fourth Proportional to 118.84, 177.96 and 82.72

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Solution

The fourth proportional to 118.84, 177.96 and 82.72 is: 123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 177.96 = 82.72 : x
  2. Step 2: Convert to fraction form
    118.84/177.96 = 82.72/x
  3. Step 3: Cross multiply
    118.84x = 177.96 × 82.72
  4. Step 4: Simplify right side
    118.84x = 14,720.85
  5. Step 5: Solve for x
    x = 14,720.85/118.84
  6. Step 6: Final answer
    x = 123.87

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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.