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Finding the Fourth Proportional to 57.12, 85.78 and 52.66

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Solution

The fourth proportional to 57.12, 85.78 and 52.66 is: 79.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 85.78 = 52.66 : x
  2. Step 2: Convert to fraction form
    57.12/85.78 = 52.66/x
  3. Step 3: Cross multiply
    57.12x = 85.78 × 52.66
  4. Step 4: Simplify right side
    57.12x = 4,517.17
  5. Step 5: Solve for x
    x = 4,517.17/57.12
  6. Step 6: Final answer
    x = 79.08

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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.