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Finding the Fourth Proportional to 92.37, 137.44 and 92.06

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Solution

The fourth proportional to 92.37, 137.44 and 92.06 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.37 : 137.44 = 92.06 : x
  2. Step 2: Convert to fraction form
    92.37/137.44 = 92.06/x
  3. Step 3: Cross multiply
    92.37x = 137.44 × 92.06
  4. Step 4: Simplify right side
    92.37x = 12,652.73
  5. Step 5: Solve for x
    x = 12,652.73/92.37
  6. Step 6: Final answer
    x = 136.98

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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.