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Finding the Fourth Proportional to 57.26, 85.47 and 55.34

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Solution

The fourth proportional to 57.26, 85.47 and 55.34 is: 82.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.26 : 85.47 = 55.34 : x
  2. Step 2: Convert to fraction form
    57.26/85.47 = 55.34/x
  3. Step 3: Cross multiply
    57.26x = 85.47 × 55.34
  4. Step 4: Simplify right side
    57.26x = 4,729.48
  5. Step 5: Solve for x
    x = 4,729.48/57.26
  6. Step 6: Final answer
    x = 82.60

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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.