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Finding the Fourth Proportional to 127.09, 175.40 and 85.65

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Solution

The fourth proportional to 127.09, 175.40 and 85.65 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.09 : 175.40 = 85.65 : x
  2. Step 2: Convert to fraction form
    127.09/175.40 = 85.65/x
  3. Step 3: Cross multiply
    127.09x = 175.40 × 85.65
  4. Step 4: Simplify right side
    127.09x = 15,023.01
  5. Step 5: Solve for x
    x = 15,023.01/127.09
  6. Step 6: Final answer
    x = 118.21

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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.