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Finding the Fourth Proportional to 92.05, 127.04 and 50.61

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Solution

The fourth proportional to 92.05, 127.04 and 50.61 is: 69.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.05 : 127.04 = 50.61 : x
  2. Step 2: Convert to fraction form
    92.05/127.04 = 50.61/x
  3. Step 3: Cross multiply
    92.05x = 127.04 × 50.61
  4. Step 4: Simplify right side
    92.05x = 6,428.84
  5. Step 5: Solve for x
    x = 6,428.84/92.05
  6. Step 6: Final answer
    x = 69.84

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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.