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Finding the Fourth Proportional to 134.67, 202 and 53.54

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Solution

The fourth proportional to 134.67, 202 and 53.54 is: 80.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.67 : 202 = 53.54 : x
  2. Step 2: Convert to fraction form
    134.67/202 = 53.54/x
  3. Step 3: Cross multiply
    134.67x = 202 × 53.54
  4. Step 4: Simplify right side
    134.67x = 10,815.08
  5. Step 5: Solve for x
    x = 10,815.08/134.67
  6. Step 6: Final answer
    x = 80.31

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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.