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Finding the Fourth Proportional to 92.22, 138.06 and 83.04

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Solution

The fourth proportional to 92.22, 138.06 and 83.04 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.22 : 138.06 = 83.04 : x
  2. Step 2: Convert to fraction form
    92.22/138.06 = 83.04/x
  3. Step 3: Cross multiply
    92.22x = 138.06 × 83.04
  4. Step 4: Simplify right side
    92.22x = 11,464.50
  5. Step 5: Solve for x
    x = 11,464.50/92.22
  6. Step 6: Final answer
    x = 124.32

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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.