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Finding the Fourth Proportional to 127.08, 175.44 and 82.84

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Solution

The fourth proportional to 127.08, 175.44 and 82.84 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.08 : 175.44 = 82.84 : x
  2. Step 2: Convert to fraction form
    127.08/175.44 = 82.84/x
  3. Step 3: Cross multiply
    127.08x = 175.44 × 82.84
  4. Step 4: Simplify right side
    127.08x = 14,533.45
  5. Step 5: Solve for x
    x = 14,533.45/127.08
  6. Step 6: Final answer
    x = 114.36

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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.