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Finding the Fourth Proportional to 127.91, 176.56 and 91.09

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Solution

The fourth proportional to 127.91, 176.56 and 91.09 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 176.56 = 91.09 : x
  2. Step 2: Convert to fraction form
    127.91/176.56 = 91.09/x
  3. Step 3: Cross multiply
    127.91x = 176.56 × 91.09
  4. Step 4: Simplify right side
    127.91x = 16,083.36
  5. Step 5: Solve for x
    x = 16,083.36/127.91
  6. Step 6: Final answer
    x = 125.74

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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.