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Finding the Fourth Proportional to 57.96, 80.16 and 57.36

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Solution

The fourth proportional to 57.96, 80.16 and 57.36 is: 79.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.96 : 80.16 = 57.36 : x
  2. Step 2: Convert to fraction form
    57.96/80.16 = 57.36/x
  3. Step 3: Cross multiply
    57.96x = 80.16 × 57.36
  4. Step 4: Simplify right side
    57.96x = 4,597.98
  5. Step 5: Solve for x
    x = 4,597.98/57.96
  6. Step 6: Final answer
    x = 79.33

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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.