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Finding the Fourth Proportional to 92.31, 127.38 and 55.46

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Solution

The fourth proportional to 92.31, 127.38 and 55.46 is: 76.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 127.38 = 55.46 : x
  2. Step 2: Convert to fraction form
    92.31/127.38 = 55.46/x
  3. Step 3: Cross multiply
    92.31x = 127.38 × 55.46
  4. Step 4: Simplify right side
    92.31x = 7,065.02
  5. Step 5: Solve for x
    x = 7,065.02/92.31
  6. Step 6: Final answer
    x = 76.54

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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.