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Finding the Fourth Proportional to 73.24, 109.92 and 51.92

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Solution

The fourth proportional to 73.24, 109.92 and 51.92 is: 77.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 109.92 = 51.92 : x
  2. Step 2: Convert to fraction form
    73.24/109.92 = 51.92/x
  3. Step 3: Cross multiply
    73.24x = 109.92 × 51.92
  4. Step 4: Simplify right side
    73.24x = 5,707.05
  5. Step 5: Solve for x
    x = 5,707.05/73.24
  6. Step 6: Final answer
    x = 77.92

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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.