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Finding the Fourth Proportional to 57.02, 78.63 and 37.62

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Solution

The fourth proportional to 57.02, 78.63 and 37.62 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.63 = 37.62 : x
  2. Step 2: Convert to fraction form
    57.02/78.63 = 37.62/x
  3. Step 3: Cross multiply
    57.02x = 78.63 × 37.62
  4. Step 4: Simplify right side
    57.02x = 2,958.06
  5. Step 5: Solve for x
    x = 2,958.06/57.02
  6. Step 6: Final answer
    x = 51.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.