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Finding the Fourth Proportional to 57.58, 86.01 and 55.45

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Solution

The fourth proportional to 57.58, 86.01 and 55.45 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.58 : 86.01 = 55.45 : x
  2. Step 2: Convert to fraction form
    57.58/86.01 = 55.45/x
  3. Step 3: Cross multiply
    57.58x = 86.01 × 55.45
  4. Step 4: Simplify right side
    57.58x = 4,769.15
  5. Step 5: Solve for x
    x = 4,769.15/57.58
  6. Step 6: Final answer
    x = 82.83

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Why These Related Problems?

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