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Finding the Fourth Proportional to 72.73, 100.25 and 50.86

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Solution

The fourth proportional to 72.73, 100.25 and 50.86 is: 70.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.73 : 100.25 = 50.86 : x
  2. Step 2: Convert to fraction form
    72.73/100.25 = 50.86/x
  3. Step 3: Cross multiply
    72.73x = 100.25 × 50.86
  4. Step 4: Simplify right side
    72.73x = 5,098.46
  5. Step 5: Solve for x
    x = 5,098.46/72.73
  6. Step 6: Final answer
    x = 70.10

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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.