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Finding the Fourth Proportional to 63.86, 88.12 and 37.63

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Solution

The fourth proportional to 63.86, 88.12 and 37.63 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.86 : 88.12 = 37.63 : x
  2. Step 2: Convert to fraction form
    63.86/88.12 = 37.63/x
  3. Step 3: Cross multiply
    63.86x = 88.12 × 37.63
  4. Step 4: Simplify right side
    63.86x = 3,315.96
  5. Step 5: Solve for x
    x = 3,315.96/63.86
  6. Step 6: Final answer
    x = 51.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.