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Finding the Fourth Proportional to 127.88, 176.28 and 108.14

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Solution

The fourth proportional to 127.88, 176.28 and 108.14 is: 149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 176.28 = 108.14 : x
  2. Step 2: Convert to fraction form
    127.88/176.28 = 108.14/x
  3. Step 3: Cross multiply
    127.88x = 176.28 × 108.14
  4. Step 4: Simplify right side
    127.88x = 19,061.63
  5. Step 5: Solve for x
    x = 19,061.63/127.88
  6. Step 6: Final answer
    x = 149.06

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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.