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Finding the Fourth Proportional to 92.27, 137.54 and 84.98

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Solution

The fourth proportional to 92.27, 137.54 and 84.98 is: 126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.27 : 137.54 = 84.98 : x
  2. Step 2: Convert to fraction form
    92.27/137.54 = 84.98/x
  3. Step 3: Cross multiply
    92.27x = 137.54 × 84.98
  4. Step 4: Simplify right side
    92.27x = 11,687.04
  5. Step 5: Solve for x
    x = 11,687.04/92.27
  6. Step 6: Final answer
    x = 126.67

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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.