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Finding the Fourth Proportional to 127.28, 190.96 and 46.14

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Solution

The fourth proportional to 127.28, 190.96 and 46.14 is: 69.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.28 : 190.96 = 46.14 : x
  2. Step 2: Convert to fraction form
    127.28/190.96 = 46.14/x
  3. Step 3: Cross multiply
    127.28x = 190.96 × 46.14
  4. Step 4: Simplify right side
    127.28x = 8,810.89
  5. Step 5: Solve for x
    x = 8,810.89/127.28
  6. Step 6: Final answer
    x = 69.22

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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.