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Finding the Fourth Proportional to 127.74, 176.09 and 96.69

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Solution

The fourth proportional to 127.74, 176.09 and 96.69 is: 133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 176.09 = 96.69 : x
  2. Step 2: Convert to fraction form
    127.74/176.09 = 96.69/x
  3. Step 3: Cross multiply
    127.74x = 176.09 × 96.69
  4. Step 4: Simplify right side
    127.74x = 17,026.14
  5. Step 5: Solve for x
    x = 17,026.14/127.74
  6. Step 6: Final answer
    x = 133.29

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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.