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Finding the Fourth Proportional to 76.57, 105.72 and 57.27

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Solution

The fourth proportional to 76.57, 105.72 and 57.27 is: 79.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 105.72 = 57.27 : x
  2. Step 2: Convert to fraction form
    76.57/105.72 = 57.27/x
  3. Step 3: Cross multiply
    76.57x = 105.72 × 57.27
  4. Step 4: Simplify right side
    76.57x = 6,054.58
  5. Step 5: Solve for x
    x = 6,054.58/76.57
  6. Step 6: Final answer
    x = 79.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.