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Finding the Fourth Proportional to 77.55, 115.85 and 55.71

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Solution

The fourth proportional to 77.55, 115.85 and 55.71 is: 83.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.55 : 115.85 = 55.71 : x
  2. Step 2: Convert to fraction form
    77.55/115.85 = 55.71/x
  3. Step 3: Cross multiply
    77.55x = 115.85 × 55.71
  4. Step 4: Simplify right side
    77.55x = 6,453.15
  5. Step 5: Solve for x
    x = 6,453.15/77.55
  6. Step 6: Final answer
    x = 83.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.