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Finding the Fourth Proportional to 128.74, 177.72 and 82.18

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Solution

The fourth proportional to 128.74, 177.72 and 82.18 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.74 : 177.72 = 82.18 : x
  2. Step 2: Convert to fraction form
    128.74/177.72 = 82.18/x
  3. Step 3: Cross multiply
    128.74x = 177.72 × 82.18
  4. Step 4: Simplify right side
    128.74x = 14,604.14
  5. Step 5: Solve for x
    x = 14,604.14/128.74
  6. Step 6: Final answer
    x = 113.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.