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Finding the Fourth Proportional to 127.98, 176.09 and 109.49

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Solution

The fourth proportional to 127.98, 176.09 and 109.49 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 176.09 = 109.49 : x
  2. Step 2: Convert to fraction form
    127.98/176.09 = 109.49/x
  3. Step 3: Cross multiply
    127.98x = 176.09 × 109.49
  4. Step 4: Simplify right side
    127.98x = 19,278.67
  5. Step 5: Solve for x
    x = 19,278.67/127.98
  6. Step 6: Final answer
    x = 150.64

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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.