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Finding the Fourth Proportional to 92.24, 138.14 and 83.14

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Solution

The fourth proportional to 92.24, 138.14 and 83.14 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 138.14 = 83.14 : x
  2. Step 2: Convert to fraction form
    92.24/138.14 = 83.14/x
  3. Step 3: Cross multiply
    92.24x = 138.14 × 83.14
  4. Step 4: Simplify right side
    92.24x = 11,484.96
  5. Step 5: Solve for x
    x = 11,484.96/92.24
  6. Step 6: Final answer
    x = 124.51

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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.