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Finding the Fourth Proportional to 127.66, 176.06 and 86.26

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Solution

The fourth proportional to 127.66, 176.06 and 86.26 is: 118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 176.06 = 86.26 : x
  2. Step 2: Convert to fraction form
    127.66/176.06 = 86.26/x
  3. Step 3: Cross multiply
    127.66x = 176.06 × 86.26
  4. Step 4: Simplify right side
    127.66x = 15,186.94
  5. Step 5: Solve for x
    x = 15,186.94/127.66
  6. Step 6: Final answer
    x = 118.96

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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.