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Finding the Fourth Proportional to 127.35, 189.38 and 126

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Solution

The fourth proportional to 127.35, 189.38 and 126 is: 187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.35 : 189.38 = 126 : x
  2. Step 2: Convert to fraction form
    127.35/189.38 = 126/x
  3. Step 3: Cross multiply
    127.35x = 189.38 × 126
  4. Step 4: Simplify right side
    127.35x = 23,861.25
  5. Step 5: Solve for x
    x = 23,861.25/127.35
  6. Step 6: Final answer
    x = 187.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.