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Finding the Fourth Proportional to 72.09, 107.96 and 52.77

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Solution

The fourth proportional to 72.09, 107.96 and 52.77 is: 79.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.09 : 107.96 = 52.77 : x
  2. Step 2: Convert to fraction form
    72.09/107.96 = 52.77/x
  3. Step 3: Cross multiply
    72.09x = 107.96 × 52.77
  4. Step 4: Simplify right side
    72.09x = 5,696.79
  5. Step 5: Solve for x
    x = 5,696.79/72.09
  6. Step 6: Final answer
    x = 79.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.