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Finding the Fourth Proportional to 53.53, 73.43 and 52.67

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Solution

The fourth proportional to 53.53, 73.43 and 52.67 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 73.43 = 52.67 : x
  2. Step 2: Convert to fraction form
    53.53/73.43 = 52.67/x
  3. Step 3: Cross multiply
    53.53x = 73.43 × 52.67
  4. Step 4: Simplify right side
    53.53x = 3,867.56
  5. Step 5: Solve for x
    x = 3,867.56/53.53
  6. Step 6: Final answer
    x = 72.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.