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Finding the Fourth Proportional to 57.21, 85.29 and 55.23

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Solution

The fourth proportional to 57.21, 85.29 and 55.23 is: 82.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.21 : 85.29 = 55.23 : x
  2. Step 2: Convert to fraction form
    57.21/85.29 = 55.23/x
  3. Step 3: Cross multiply
    57.21x = 85.29 × 55.23
  4. Step 4: Simplify right side
    57.21x = 4,710.57
  5. Step 5: Solve for x
    x = 4,710.57/57.21
  6. Step 6: Final answer
    x = 82.34

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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.