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Finding the Fourth Proportional to 128.46, 177.31 and 82.54

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Solution

The fourth proportional to 128.46, 177.31 and 82.54 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.46 : 177.31 = 82.54 : x
  2. Step 2: Convert to fraction form
    128.46/177.31 = 82.54/x
  3. Step 3: Cross multiply
    128.46x = 177.31 × 82.54
  4. Step 4: Simplify right side
    128.46x = 14,635.17
  5. Step 5: Solve for x
    x = 14,635.17/128.46
  6. Step 6: Final answer
    x = 113.93

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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.