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Finding the Fourth Proportional to 57.36, 85.35 and 55.68

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Solution

The fourth proportional to 57.36, 85.35 and 55.68 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.36 : 85.35 = 55.68 : x
  2. Step 2: Convert to fraction form
    57.36/85.35 = 55.68/x
  3. Step 3: Cross multiply
    57.36x = 85.35 × 55.68
  4. Step 4: Simplify right side
    57.36x = 4,752.29
  5. Step 5: Solve for x
    x = 4,752.29/57.36
  6. Step 6: Final answer
    x = 82.85

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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.