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Finding the Fourth Proportional to 127.30, 175.51 and 103.96

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Solution

The fourth proportional to 127.30, 175.51 and 103.96 is: 143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.30 : 175.51 = 103.96 : x
  2. Step 2: Convert to fraction form
    127.30/175.51 = 103.96/x
  3. Step 3: Cross multiply
    127.30x = 175.51 × 103.96
  4. Step 4: Simplify right side
    127.30x = 18,246.02
  5. Step 5: Solve for x
    x = 18,246.02/127.30
  6. Step 6: Final answer
    x = 143.33

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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.