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Finding the Fourth Proportional to 72.49, 100.04 and 47.61

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Solution

The fourth proportional to 72.49, 100.04 and 47.61 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.49 : 100.04 = 47.61 : x
  2. Step 2: Convert to fraction form
    72.49/100.04 = 47.61/x
  3. Step 3: Cross multiply
    72.49x = 100.04 × 47.61
  4. Step 4: Simplify right side
    72.49x = 4,762.93
  5. Step 5: Solve for x
    x = 4,762.93/72.49
  6. Step 6: Final answer
    x = 65.71

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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.