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Finding the Fourth Proportional to 57.20, 85.38 and 53.19

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Solution

The fourth proportional to 57.20, 85.38 and 53.19 is: 79.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.20 : 85.38 = 53.19 : x
  2. Step 2: Convert to fraction form
    57.20/85.38 = 53.19/x
  3. Step 3: Cross multiply
    57.20x = 85.38 × 53.19
  4. Step 4: Simplify right side
    57.20x = 4,541.50
  5. Step 5: Solve for x
    x = 4,541.50/57.20
  6. Step 6: Final answer
    x = 79.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.