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Finding the Fourth Proportional to 127.00, 175.12 and 103.64

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Solution

The fourth proportional to 127.00, 175.12 and 103.64 is: 142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.00 : 175.12 = 103.64 : x
  2. Step 2: Convert to fraction form
    127.00/175.12 = 103.64/x
  3. Step 3: Cross multiply
    127.00x = 175.12 × 103.64
  4. Step 4: Simplify right side
    127.00x = 18,149.62
  5. Step 5: Solve for x
    x = 18,149.62/127.00
  6. Step 6: Final answer
    x = 142.91

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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.