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Finding the Fourth Proportional to 57.32, 79.02 and 54.92

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Solution

The fourth proportional to 57.32, 79.02 and 54.92 is: 75.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.32 : 79.02 = 54.92 : x
  2. Step 2: Convert to fraction form
    57.32/79.02 = 54.92/x
  3. Step 3: Cross multiply
    57.32x = 79.02 × 54.92
  4. Step 4: Simplify right side
    57.32x = 4,339.78
  5. Step 5: Solve for x
    x = 4,339.78/57.32
  6. Step 6: Final answer
    x = 75.71

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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.