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Finding the Fourth Proportional to 128.50, 177.25 and 91.71

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Solution

The fourth proportional to 128.50, 177.25 and 91.71 is: 126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.50 : 177.25 = 91.71 : x
  2. Step 2: Convert to fraction form
    128.50/177.25 = 91.71/x
  3. Step 3: Cross multiply
    128.50x = 177.25 × 91.71
  4. Step 4: Simplify right side
    128.50x = 16,255.60
  5. Step 5: Solve for x
    x = 16,255.60/128.50
  6. Step 6: Final answer
    x = 126.50

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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.