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Finding the Fourth Proportional to 128.96, 177.90 and 82.32

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Solution

The fourth proportional to 128.96, 177.90 and 82.32 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 177.90 = 82.32 : x
  2. Step 2: Convert to fraction form
    128.96/177.90 = 82.32/x
  3. Step 3: Cross multiply
    128.96x = 177.90 × 82.32
  4. Step 4: Simplify right side
    128.96x = 14,644.73
  5. Step 5: Solve for x
    x = 14,644.73/128.96
  6. Step 6: Final answer
    x = 113.56

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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.