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Finding the Fourth Proportional to 92.08, 138.36 and 70.96

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Solution

The fourth proportional to 92.08, 138.36 and 70.96 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 138.36 = 70.96 : x
  2. Step 2: Convert to fraction form
    92.08/138.36 = 70.96/x
  3. Step 3: Cross multiply
    92.08x = 138.36 × 70.96
  4. Step 4: Simplify right side
    92.08x = 9,818.03
  5. Step 5: Solve for x
    x = 9,818.03/92.08
  6. Step 6: Final answer
    x = 106.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.