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Finding the Fourth Proportional to 127.80, 176.34 and 75.33

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Solution

The fourth proportional to 127.80, 176.34 and 75.33 is: 103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 176.34 = 75.33 : x
  2. Step 2: Convert to fraction form
    127.80/176.34 = 75.33/x
  3. Step 3: Cross multiply
    127.80x = 176.34 × 75.33
  4. Step 4: Simplify right side
    127.80x = 13,283.69
  5. Step 5: Solve for x
    x = 13,283.69/127.80
  6. Step 6: Final answer
    x = 103.94

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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.