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Finding the Fourth Proportional to 127.02, 175.20 and 80.35

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Solution

The fourth proportional to 127.02, 175.20 and 80.35 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.02 : 175.20 = 80.35 : x
  2. Step 2: Convert to fraction form
    127.02/175.20 = 80.35/x
  3. Step 3: Cross multiply
    127.02x = 175.20 × 80.35
  4. Step 4: Simplify right side
    127.02x = 14,077.32
  5. Step 5: Solve for x
    x = 14,077.32/127.02
  6. Step 6: Final answer
    x = 110.83

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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.