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Finding the Fourth Proportional to 92.96, 138.61 and 83.12

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Solution

The fourth proportional to 92.96, 138.61 and 83.12 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 138.61 = 83.12 : x
  2. Step 2: Convert to fraction form
    92.96/138.61 = 83.12/x
  3. Step 3: Cross multiply
    92.96x = 138.61 × 83.12
  4. Step 4: Simplify right side
    92.96x = 11,521.26
  5. Step 5: Solve for x
    x = 11,521.26/92.96
  6. Step 6: Final answer
    x = 123.94

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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.