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Finding the Fourth Proportional to 57.02, 85.46 and 22.76

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Solution

The fourth proportional to 57.02, 85.46 and 22.76 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 85.46 = 22.76 : x
  2. Step 2: Convert to fraction form
    57.02/85.46 = 22.76/x
  3. Step 3: Cross multiply
    57.02x = 85.46 × 22.76
  4. Step 4: Simplify right side
    57.02x = 1,944.96
  5. Step 5: Solve for x
    x = 1,944.96/57.02
  6. Step 6: Final answer
    x = 34.11

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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.