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Finding the Fourth Proportional to 57.78, 86.68 and 54.70

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Solution

The fourth proportional to 57.78, 86.68 and 54.70 is: 82.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.78 : 86.68 = 54.70 : x
  2. Step 2: Convert to fraction form
    57.78/86.68 = 54.70/x
  3. Step 3: Cross multiply
    57.78x = 86.68 × 54.70
  4. Step 4: Simplify right side
    57.78x = 4,741.40
  5. Step 5: Solve for x
    x = 4,741.40/57.78
  6. Step 6: Final answer
    x = 82.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.