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Finding the Fourth Proportional to 57.63, 86.32 and 42.37

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Solution

The fourth proportional to 57.63, 86.32 and 42.37 is: 63.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.63 : 86.32 = 42.37 : x
  2. Step 2: Convert to fraction form
    57.63/86.32 = 42.37/x
  3. Step 3: Cross multiply
    57.63x = 86.32 × 42.37
  4. Step 4: Simplify right side
    57.63x = 3,657.38
  5. Step 5: Solve for x
    x = 3,657.38/57.63
  6. Step 6: Final answer
    x = 63.46

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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.