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Finding the Fourth Proportional to 128.70, 177.63 and 82.08

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Solution

The fourth proportional to 128.70, 177.63 and 82.08 is: 113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.70 : 177.63 = 82.08 : x
  2. Step 2: Convert to fraction form
    128.70/177.63 = 82.08/x
  3. Step 3: Cross multiply
    128.70x = 177.63 × 82.08
  4. Step 4: Simplify right side
    128.70x = 14,579.87
  5. Step 5: Solve for x
    x = 14,579.87/128.70
  6. Step 6: Final answer
    x = 113.29

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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.