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Finding the Fourth Proportional to 134, 184.14 and 127.97

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Solution

The fourth proportional to 134, 184.14 and 127.97 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134 : 184.14 = 127.97 : x
  2. Step 2: Convert to fraction form
    134/184.14 = 127.97/x
  3. Step 3: Cross multiply
    134x = 184.14 × 127.97
  4. Step 4: Simplify right side
    134x = 23,564.40
  5. Step 5: Solve for x
    x = 23,564.40/134
  6. Step 6: Final answer
    x = 175.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.