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Finding the Fourth Proportional to 127.40, 190.86 and 84.56

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Solution

The fourth proportional to 127.40, 190.86 and 84.56 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.40 : 190.86 = 84.56 : x
  2. Step 2: Convert to fraction form
    127.40/190.86 = 84.56/x
  3. Step 3: Cross multiply
    127.40x = 190.86 × 84.56
  4. Step 4: Simplify right side
    127.40x = 16,139.12
  5. Step 5: Solve for x
    x = 16,139.12/127.40
  6. Step 6: Final answer
    x = 126.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.