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Finding the Fourth Proportional to 92, 138.54 and 82.44

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Solution

The fourth proportional to 92, 138.54 and 82.44 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92 : 138.54 = 82.44 : x
  2. Step 2: Convert to fraction form
    92/138.54 = 82.44/x
  3. Step 3: Cross multiply
    92x = 138.54 × 82.44
  4. Step 4: Simplify right side
    92x = 11,421.24
  5. Step 5: Solve for x
    x = 11,421.24/92
  6. Step 6: Final answer
    x = 124.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.