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Finding the Fourth Proportional to 127.83, 176.42 and 86.42

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Solution

The fourth proportional to 127.83, 176.42 and 86.42 is: 119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.83 : 176.42 = 86.42 : x
  2. Step 2: Convert to fraction form
    127.83/176.42 = 86.42/x
  3. Step 3: Cross multiply
    127.83x = 176.42 × 86.42
  4. Step 4: Simplify right side
    127.83x = 15,245.23
  5. Step 5: Solve for x
    x = 15,245.23/127.83
  6. Step 6: Final answer
    x = 119.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.