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Finding the Fourth Proportional to 92.09, 127.09 and 55.23

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Solution

The fourth proportional to 92.09, 127.09 and 55.23 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 127.09 = 55.23 : x
  2. Step 2: Convert to fraction form
    92.09/127.09 = 55.23/x
  3. Step 3: Cross multiply
    92.09x = 127.09 × 55.23
  4. Step 4: Simplify right side
    92.09x = 7,018.90
  5. Step 5: Solve for x
    x = 7,018.90/92.09
  6. Step 6: Final answer
    x = 76.22

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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.