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Finding the Fourth Proportional to 127.70, 176.28 and 81.09

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Solution

The fourth proportional to 127.70, 176.28 and 81.09 is: 111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.70 : 176.28 = 81.09 : x
  2. Step 2: Convert to fraction form
    127.70/176.28 = 81.09/x
  3. Step 3: Cross multiply
    127.70x = 176.28 × 81.09
  4. Step 4: Simplify right side
    127.70x = 14,294.55
  5. Step 5: Solve for x
    x = 14,294.55/127.70
  6. Step 6: Final answer
    x = 111.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.