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Finding the Fourth Proportional to 127.31, 175.71 and 97.75

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Solution

The fourth proportional to 127.31, 175.71 and 97.75 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 175.71 = 97.75 : x
  2. Step 2: Convert to fraction form
    127.31/175.71 = 97.75/x
  3. Step 3: Cross multiply
    127.31x = 175.71 × 97.75
  4. Step 4: Simplify right side
    127.31x = 17,175.65
  5. Step 5: Solve for x
    x = 17,175.65/127.31
  6. Step 6: Final answer
    x = 134.91

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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.