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Finding the Fourth Proportional to 57.61, 79.49 and 38.21

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Solution

The fourth proportional to 57.61, 79.49 and 38.21 is: 52.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.61 : 79.49 = 38.21 : x
  2. Step 2: Convert to fraction form
    57.61/79.49 = 38.21/x
  3. Step 3: Cross multiply
    57.61x = 79.49 × 38.21
  4. Step 4: Simplify right side
    57.61x = 3,037.12
  5. Step 5: Solve for x
    x = 3,037.12/57.61
  6. Step 6: Final answer
    x = 52.72

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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.