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Finding the Fourth Proportional to 92.24, 138.21 and 53.66

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Solution

The fourth proportional to 92.24, 138.21 and 53.66 is: 80.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 138.21 = 53.66 : x
  2. Step 2: Convert to fraction form
    92.24/138.21 = 53.66/x
  3. Step 3: Cross multiply
    92.24x = 138.21 × 53.66
  4. Step 4: Simplify right side
    92.24x = 7,416.49
  5. Step 5: Solve for x
    x = 7,416.49/92.24
  6. Step 6: Final answer
    x = 80.41

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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.