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Finding the Fourth Proportional to 127.17, 175.46 and 75.42

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Solution

The fourth proportional to 127.17, 175.46 and 75.42 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.17 : 175.46 = 75.42 : x
  2. Step 2: Convert to fraction form
    127.17/175.46 = 75.42/x
  3. Step 3: Cross multiply
    127.17x = 175.46 × 75.42
  4. Step 4: Simplify right side
    127.17x = 13,232.82
  5. Step 5: Solve for x
    x = 13,232.82/127.17
  6. Step 6: Final answer
    x = 104.06

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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.