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Finding the Fourth Proportional to 57.89, 86.84 and 23.64

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Solution

The fourth proportional to 57.89, 86.84 and 23.64 is: 35.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.89 : 86.84 = 23.64 : x
  2. Step 2: Convert to fraction form
    57.89/86.84 = 23.64/x
  3. Step 3: Cross multiply
    57.89x = 86.84 × 23.64
  4. Step 4: Simplify right side
    57.89x = 2,053.08
  5. Step 5: Solve for x
    x = 2,053.08/57.89
  6. Step 6: Final answer
    x = 35.47

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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.