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Finding the Fourth Proportional to 57.74, 87.10 and 57.28

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Solution

The fourth proportional to 57.74, 87.10 and 57.28 is: 86.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 87.10 = 57.28 : x
  2. Step 2: Convert to fraction form
    57.74/87.10 = 57.28/x
  3. Step 3: Cross multiply
    57.74x = 87.10 × 57.28
  4. Step 4: Simplify right side
    57.74x = 4,989.09
  5. Step 5: Solve for x
    x = 4,989.09/57.74
  6. Step 6: Final answer
    x = 86.41

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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.