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Finding the Fourth Proportional to 92.59, 138.81 and 52.00

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Solution

The fourth proportional to 92.59, 138.81 and 52.00 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.59 : 138.81 = 52.00 : x
  2. Step 2: Convert to fraction form
    92.59/138.81 = 52.00/x
  3. Step 3: Cross multiply
    92.59x = 138.81 × 52.00
  4. Step 4: Simplify right side
    92.59x = 7,217.68
  5. Step 5: Solve for x
    x = 7,217.68/92.59
  6. Step 6: Final answer
    x = 77.96

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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.