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Finding the Fourth Proportional to 127.36, 174.81 and 116.43

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Solution

The fourth proportional to 127.36, 174.81 and 116.43 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.36 : 174.81 = 116.43 : x
  2. Step 2: Convert to fraction form
    127.36/174.81 = 116.43/x
  3. Step 3: Cross multiply
    127.36x = 174.81 × 116.43
  4. Step 4: Simplify right side
    127.36x = 20,353.13
  5. Step 5: Solve for x
    x = 20,353.13/127.36
  6. Step 6: Final answer
    x = 159.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.