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Finding the Fourth Proportional to 92.66, 127.05 and 89.54

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Solution

The fourth proportional to 92.66, 127.05 and 89.54 is: 122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 127.05 = 89.54 : x
  2. Step 2: Convert to fraction form
    92.66/127.05 = 89.54/x
  3. Step 3: Cross multiply
    92.66x = 127.05 × 89.54
  4. Step 4: Simplify right side
    92.66x = 11,375.61
  5. Step 5: Solve for x
    x = 11,375.61/92.66
  6. Step 6: Final answer
    x = 122.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.