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Finding the Fourth Proportional to 92.17, 138.29 and 83.67

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Solution

The fourth proportional to 92.17, 138.29 and 83.67 is: 125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.17 : 138.29 = 83.67 : x
  2. Step 2: Convert to fraction form
    92.17/138.29 = 83.67/x
  3. Step 3: Cross multiply
    92.17x = 138.29 × 83.67
  4. Step 4: Simplify right side
    92.17x = 11,570.59
  5. Step 5: Solve for x
    x = 11,570.59/92.17
  6. Step 6: Final answer
    x = 125.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.