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Finding the Fourth Proportional to 127.74, 176.37 and 103.23

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Solution

The fourth proportional to 127.74, 176.37 and 103.23 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 176.37 = 103.23 : x
  2. Step 2: Convert to fraction form
    127.74/176.37 = 103.23/x
  3. Step 3: Cross multiply
    127.74x = 176.37 × 103.23
  4. Step 4: Simplify right side
    127.74x = 18,206.68
  5. Step 5: Solve for x
    x = 18,206.68/127.74
  6. Step 6: Final answer
    x = 142.53

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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.