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Finding the Fourth Proportional to 127.62, 175.57 and 107.78

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Solution

The fourth proportional to 127.62, 175.57 and 107.78 is: 148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 175.57 = 107.78 : x
  2. Step 2: Convert to fraction form
    127.62/175.57 = 107.78/x
  3. Step 3: Cross multiply
    127.62x = 175.57 × 107.78
  4. Step 4: Simplify right side
    127.62x = 18,921.79
  5. Step 5: Solve for x
    x = 18,921.79/127.62
  6. Step 6: Final answer
    x = 148.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.