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Finding the Fourth Proportional to 57.41, 85.70 and 53.18

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Solution

The fourth proportional to 57.41, 85.70 and 53.18 is: 79.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.41 : 85.70 = 53.18 : x
  2. Step 2: Convert to fraction form
    57.41/85.70 = 53.18/x
  3. Step 3: Cross multiply
    57.41x = 85.70 × 53.18
  4. Step 4: Simplify right side
    57.41x = 4,557.87
  5. Step 5: Solve for x
    x = 4,557.87/57.41
  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.