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Finding the Fourth Proportional to 134.75, 202.24 and 53.65

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Solution

The fourth proportional to 134.75, 202.24 and 53.65 is: 80.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 202.24 = 53.65 : x
  2. Step 2: Convert to fraction form
    134.75/202.24 = 53.65/x
  3. Step 3: Cross multiply
    134.75x = 202.24 × 53.65
  4. Step 4: Simplify right side
    134.75x = 10,850.18
  5. Step 5: Solve for x
    x = 10,850.18/134.75
  6. Step 6: Final answer
    x = 80.52

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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.