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Finding the Fourth Proportional to 72.69, 100.41 and 52.05

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Solution

The fourth proportional to 72.69, 100.41 and 52.05 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.69 : 100.41 = 52.05 : x
  2. Step 2: Convert to fraction form
    72.69/100.41 = 52.05/x
  3. Step 3: Cross multiply
    72.69x = 100.41 × 52.05
  4. Step 4: Simplify right side
    72.69x = 5,226.34
  5. Step 5: Solve for x
    x = 5,226.34/72.69
  6. Step 6: Final answer
    x = 71.90

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