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Finding the Fourth Proportional to 128.59, 177.39 and 83.70

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Solution

The fourth proportional to 128.59, 177.39 and 83.70 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.59 : 177.39 = 83.70 : x
  2. Step 2: Convert to fraction form
    128.59/177.39 = 83.70/x
  3. Step 3: Cross multiply
    128.59x = 177.39 × 83.70
  4. Step 4: Simplify right side
    128.59x = 14,847.54
  5. Step 5: Solve for x
    x = 14,847.54/128.59
  6. Step 6: Final answer
    x = 115.47

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