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Finding the Fourth Proportional to 57.30, 78.96 and 37.59

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Solution

The fourth proportional to 57.30, 78.96 and 37.59 is: 51.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.30 : 78.96 = 37.59 : x
  2. Step 2: Convert to fraction form
    57.30/78.96 = 37.59/x
  3. Step 3: Cross multiply
    57.30x = 78.96 × 37.59
  4. Step 4: Simplify right side
    57.30x = 2,968.11
  5. Step 5: Solve for x
    x = 2,968.11/57.30
  6. Step 6: Final answer
    x = 51.80

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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.