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Finding the Fourth Proportional to 127.76, 176.22 and 83.48

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Solution

The fourth proportional to 127.76, 176.22 and 83.48 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 176.22 = 83.48 : x
  2. Step 2: Convert to fraction form
    127.76/176.22 = 83.48/x
  3. Step 3: Cross multiply
    127.76x = 176.22 × 83.48
  4. Step 4: Simplify right side
    127.76x = 14,710.85
  5. Step 5: Solve for x
    x = 14,710.85/127.76
  6. Step 6: Final answer
    x = 115.14

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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.