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Finding the Fourth Proportional to 128.36, 177.03 and 96.71

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Solution

The fourth proportional to 128.36, 177.03 and 96.71 is: 133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.36 : 177.03 = 96.71 : x
  2. Step 2: Convert to fraction form
    128.36/177.03 = 96.71/x
  3. Step 3: Cross multiply
    128.36x = 177.03 × 96.71
  4. Step 4: Simplify right side
    128.36x = 17,120.57
  5. Step 5: Solve for x
    x = 17,120.57/128.36
  6. Step 6: Final answer
    x = 133.38

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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.