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Finding the Fourth Proportional to 57.02, 85.64 and 34.24

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Solution

The fourth proportional to 57.02, 85.64 and 34.24 is: 51.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 85.64 = 34.24 : x
  2. Step 2: Convert to fraction form
    57.02/85.64 = 34.24/x
  3. Step 3: Cross multiply
    57.02x = 85.64 × 34.24
  4. Step 4: Simplify right side
    57.02x = 2,932.19
  5. Step 5: Solve for x
    x = 2,932.19/57.02
  6. Step 6: Final answer
    x = 51.42

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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.