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Finding the Fourth Proportional to 127.00, 175.21 and 77.86

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Solution

The fourth proportional to 127.00, 175.21 and 77.86 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.00 : 175.21 = 77.86 : x
  2. Step 2: Convert to fraction form
    127.00/175.21 = 77.86/x
  3. Step 3: Cross multiply
    127.00x = 175.21 × 77.86
  4. Step 4: Simplify right side
    127.00x = 13,641.87
  5. Step 5: Solve for x
    x = 13,641.87/127.00
  6. Step 6: Final answer
    x = 107.42

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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.