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Finding the Fourth Proportional to 72.45, 100.00 and 41.38

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Solution

The fourth proportional to 72.45, 100.00 and 41.38 is: 57.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.45 : 100.00 = 41.38 : x
  2. Step 2: Convert to fraction form
    72.45/100.00 = 41.38/x
  3. Step 3: Cross multiply
    72.45x = 100.00 × 41.38
  4. Step 4: Simplify right side
    72.45x = 4,137.84
  5. Step 5: Solve for x
    x = 4,137.84/72.45
  6. Step 6: Final answer
    x = 57.12

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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.