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Finding the Fourth Proportional to 57.23, 86.26 and 55.86

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Solution

The fourth proportional to 57.23, 86.26 and 55.86 is: 84.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.23 : 86.26 = 55.86 : x
  2. Step 2: Convert to fraction form
    57.23/86.26 = 55.86/x
  3. Step 3: Cross multiply
    57.23x = 86.26 × 55.86
  4. Step 4: Simplify right side
    57.23x = 4,818.48
  5. Step 5: Solve for x
    x = 4,818.48/57.23
  6. Step 6: Final answer
    x = 84.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.