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Finding the Fourth Proportional to 127.97, 176.60 and 69.75

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Solution

The fourth proportional to 127.97, 176.60 and 69.75 is: 96.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 176.60 = 69.75 : x
  2. Step 2: Convert to fraction form
    127.97/176.60 = 69.75/x
  3. Step 3: Cross multiply
    127.97x = 176.60 × 69.75
  4. Step 4: Simplify right side
    127.97x = 12,318.02
  5. Step 5: Solve for x
    x = 12,318.02/127.97
  6. Step 6: Final answer
    x = 96.26

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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.