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Finding the Fourth Proportional to 92.30, 138.04 and 82.74

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Solution

The fourth proportional to 92.30, 138.04 and 82.74 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.30 : 138.04 = 82.74 : x
  2. Step 2: Convert to fraction form
    92.30/138.04 = 82.74/x
  3. Step 3: Cross multiply
    92.30x = 138.04 × 82.74
  4. Step 4: Simplify right side
    92.30x = 11,421.43
  5. Step 5: Solve for x
    x = 11,421.43/92.30
  6. Step 6: Final answer
    x = 123.74

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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.