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Finding the Fourth Proportional to 92.54, 138.05 and 82.74

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Solution

The fourth proportional to 92.54, 138.05 and 82.74 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.54 : 138.05 = 82.74 : x
  2. Step 2: Convert to fraction form
    92.54/138.05 = 82.74/x
  3. Step 3: Cross multiply
    92.54x = 138.05 × 82.74
  4. Step 4: Simplify right side
    92.54x = 11,421.84
  5. Step 5: Solve for x
    x = 11,421.84/92.54
  6. Step 6: Final answer
    x = 123.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.