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Finding the Fourth Proportional to 92.37, 137.91 and 84.68

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Solution

The fourth proportional to 92.37, 137.91 and 84.68 is: 126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.37 : 137.91 = 84.68 : x
  2. Step 2: Convert to fraction form
    92.37/137.91 = 84.68/x
  3. Step 3: Cross multiply
    92.37x = 137.91 × 84.68
  4. Step 4: Simplify right side
    92.37x = 11,677.53
  5. Step 5: Solve for x
    x = 11,677.53/92.37
  6. Step 6: Final answer
    x = 126.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.