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Finding the Fourth Proportional to 57.72, 86.37 and 44.08

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Solution

The fourth proportional to 57.72, 86.37 and 44.08 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.72 : 86.37 = 44.08 : x
  2. Step 2: Convert to fraction form
    57.72/86.37 = 44.08/x
  3. Step 3: Cross multiply
    57.72x = 86.37 × 44.08
  4. Step 4: Simplify right side
    57.72x = 3,807.13
  5. Step 5: Solve for x
    x = 3,807.13/57.72
  6. Step 6: Final answer
    x = 65.96

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Why These Related Problems?

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