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Finding the Fourth Proportional to 72.63, 100.27 and 47.77

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Solution

The fourth proportional to 72.63, 100.27 and 47.77 is: 65.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.63 : 100.27 = 47.77 : x
  2. Step 2: Convert to fraction form
    72.63/100.27 = 47.77/x
  3. Step 3: Cross multiply
    72.63x = 100.27 × 47.77
  4. Step 4: Simplify right side
    72.63x = 4,789.92
  5. Step 5: Solve for x
    x = 4,789.92/72.63
  6. Step 6: Final answer
    x = 65.95

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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.