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Finding the Fourth Proportional to 57.22, 78.90 and 51.76

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Solution

The fourth proportional to 57.22, 78.90 and 51.76 is: 71.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.22 : 78.90 = 51.76 : x
  2. Step 2: Convert to fraction form
    57.22/78.90 = 51.76/x
  3. Step 3: Cross multiply
    57.22x = 78.90 × 51.76
  4. Step 4: Simplify right side
    57.22x = 4,083.86
  5. Step 5: Solve for x
    x = 4,083.86/57.22
  6. Step 6: Final answer
    x = 71.37

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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.