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Finding the Fourth Proportional to 57.72, 79.10 and 55.83

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Solution

The fourth proportional to 57.72, 79.10 and 55.83 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.72 : 79.10 = 55.83 : x
  2. Step 2: Convert to fraction form
    57.72/79.10 = 55.83/x
  3. Step 3: Cross multiply
    57.72x = 79.10 × 55.83
  4. Step 4: Simplify right side
    57.72x = 4,415.87
  5. Step 5: Solve for x
    x = 4,415.87/57.72
  6. Step 6: Final answer
    x = 76.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.