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Finding the Fourth Proportional to 57.07, 85.44 and 40.77

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Solution

The fourth proportional to 57.07, 85.44 and 40.77 is: 61.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 85.44 = 40.77 : x
  2. Step 2: Convert to fraction form
    57.07/85.44 = 40.77/x
  3. Step 3: Cross multiply
    57.07x = 85.44 × 40.77
  4. Step 4: Simplify right side
    57.07x = 3,483.39
  5. Step 5: Solve for x
    x = 3,483.39/57.07
  6. Step 6: Final answer
    x = 61.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.