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Finding the Fourth Proportional to 138.34, 189.77 and 127.39

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Solution

The fourth proportional to 138.34, 189.77 and 127.39 is: 174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 189.77 = 127.39 : x
  2. Step 2: Convert to fraction form
    138.34/189.77 = 127.39/x
  3. Step 3: Cross multiply
    138.34x = 189.77 × 127.39
  4. Step 4: Simplify right side
    138.34x = 24,174.80
  5. Step 5: Solve for x
    x = 24,174.80/138.34
  6. Step 6: Final answer
    x = 174.75

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