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Finding the Fourth Proportional to 92.46, 127.56 and 55.60

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Solution

The fourth proportional to 92.46, 127.56 and 55.60 is: 76.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 127.56 = 55.60 : x
  2. Step 2: Convert to fraction form
    92.46/127.56 = 55.60/x
  3. Step 3: Cross multiply
    92.46x = 127.56 × 55.60
  4. Step 4: Simplify right side
    92.46x = 7,092.34
  5. Step 5: Solve for x
    x = 7,092.34/92.46
  6. Step 6: Final answer
    x = 76.71

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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.