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Finding the Fourth Proportional to 57.02, 85.10 and 47.86

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Solution

The fourth proportional to 57.02, 85.10 and 47.86 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 85.10 = 47.86 : x
  2. Step 2: Convert to fraction form
    57.02/85.10 = 47.86/x
  3. Step 3: Cross multiply
    57.02x = 85.10 × 47.86
  4. Step 4: Simplify right side
    57.02x = 4,072.43
  5. Step 5: Solve for x
    x = 4,072.43/57.02
  6. Step 6: Final answer
    x = 71.43

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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.