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Finding the Fourth Proportional to 57.28, 79.10 and 45.77

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Solution

The fourth proportional to 57.28, 79.10 and 45.77 is: 63.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 79.10 = 45.77 : x
  2. Step 2: Convert to fraction form
    57.28/79.10 = 45.77/x
  3. Step 3: Cross multiply
    57.28x = 79.10 × 45.77
  4. Step 4: Simplify right side
    57.28x = 3,620.44
  5. Step 5: Solve for x
    x = 3,620.44/57.28
  6. Step 6: Final answer
    x = 63.21

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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.