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Finding the Fourth Proportional to 57.92, 79.92 and 53.20

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Solution

The fourth proportional to 57.92, 79.92 and 53.20 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 79.92 = 53.20 : x
  2. Step 2: Convert to fraction form
    57.92/79.92 = 53.20/x
  3. Step 3: Cross multiply
    57.92x = 79.92 × 53.20
  4. Step 4: Simplify right side
    57.92x = 4,251.74
  5. Step 5: Solve for x
    x = 4,251.74/57.92
  6. Step 6: Final answer
    x = 73.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.