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Finding the Fourth Proportional to 63, 94.32 and 42.63

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Solution

The fourth proportional to 63, 94.32 and 42.63 is: 63.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 94.32 = 42.63 : x
  2. Step 2: Convert to fraction form
    63/94.32 = 42.63/x
  3. Step 3: Cross multiply
    63x = 94.32 × 42.63
  4. Step 4: Simplify right side
    63x = 4,020.86
  5. Step 5: Solve for x
    x = 4,020.86/63
  6. Step 6: Final answer
    x = 63.82

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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.