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Finding the Fourth Proportional to 92.72, 138.72 and 54.24

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Solution

The fourth proportional to 92.72, 138.72 and 54.24 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.72 : 138.72 = 54.24 : x
  2. Step 2: Convert to fraction form
    92.72/138.72 = 54.24/x
  3. Step 3: Cross multiply
    92.72x = 138.72 × 54.24
  4. Step 4: Simplify right side
    92.72x = 7,523.86
  5. Step 5: Solve for x
    x = 7,523.86/92.72
  6. Step 6: Final answer
    x = 81.14

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Why These Related Problems?

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