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Finding the Fourth Proportional to 53.49, 73.83 and 52.27

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Solution

The fourth proportional to 53.49, 73.83 and 52.27 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 73.83 = 52.27 : x
  2. Step 2: Convert to fraction form
    53.49/73.83 = 52.27/x
  3. Step 3: Cross multiply
    53.49x = 73.83 × 52.27
  4. Step 4: Simplify right side
    53.49x = 3,859.09
  5. Step 5: Solve for x
    x = 3,859.09/53.49
  6. Step 6: Final answer
    x = 72.15

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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.