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Finding the Fourth Proportional to 57.50, 78.78 and 55.46

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Solution

The fourth proportional to 57.50, 78.78 and 55.46 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 78.78 = 55.46 : x
  2. Step 2: Convert to fraction form
    57.50/78.78 = 55.46/x
  3. Step 3: Cross multiply
    57.50x = 78.78 × 55.46
  4. Step 4: Simplify right side
    57.50x = 4,369.14
  5. Step 5: Solve for x
    x = 4,369.14/57.50
  6. Step 6: Final answer
    x = 75.99

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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.