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Finding the Fourth Proportional to 57, 85.47 and 29.55

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Solution

The fourth proportional to 57, 85.47 and 29.55 is: 44.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 85.47 = 29.55 : x
  2. Step 2: Convert to fraction form
    57/85.47 = 29.55/x
  3. Step 3: Cross multiply
    57x = 85.47 × 29.55
  4. Step 4: Simplify right side
    57x = 2,525.64
  5. Step 5: Solve for x
    x = 2,525.64/57
  6. Step 6: Final answer
    x = 44.31

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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.