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Finding the Fourth Proportional to 128.69, 177.68 and 91.43

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Solution

The fourth proportional to 128.69, 177.68 and 91.43 is: 126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.69 : 177.68 = 91.43 : x
  2. Step 2: Convert to fraction form
    128.69/177.68 = 91.43/x
  3. Step 3: Cross multiply
    128.69x = 177.68 × 91.43
  4. Step 4: Simplify right side
    128.69x = 16,244.28
  5. Step 5: Solve for x
    x = 16,244.28/128.69
  6. Step 6: Final answer
    x = 126.23

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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.