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Finding the Fourth Proportional to 92.31, 127.42 and 55.47

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Solution

The fourth proportional to 92.31, 127.42 and 55.47 is: 76.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 127.42 = 55.47 : x
  2. Step 2: Convert to fraction form
    92.31/127.42 = 55.47/x
  3. Step 3: Cross multiply
    92.31x = 127.42 × 55.47
  4. Step 4: Simplify right side
    92.31x = 7,067.69
  5. Step 5: Solve for x
    x = 7,067.69/92.31
  6. Step 6: Final answer
    x = 76.56

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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.