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Finding the Fourth Proportional to 127.62, 176.16 and 123.78

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Solution

The fourth proportional to 127.62, 176.16 and 123.78 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 176.16 = 123.78 : x
  2. Step 2: Convert to fraction form
    127.62/176.16 = 123.78/x
  3. Step 3: Cross multiply
    127.62x = 176.16 × 123.78
  4. Step 4: Simplify right side
    127.62x = 21,805.08
  5. Step 5: Solve for x
    x = 21,805.08/127.62
  6. Step 6: Final answer
    x = 170.86

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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.