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Finding the Fourth Proportional to 135.08, 202.56 and 53.92

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Solution

The fourth proportional to 135.08, 202.56 and 53.92 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.08 : 202.56 = 53.92 : x
  2. Step 2: Convert to fraction form
    135.08/202.56 = 53.92/x
  3. Step 3: Cross multiply
    135.08x = 202.56 × 53.92
  4. Step 4: Simplify right side
    135.08x = 10,922.04
  5. Step 5: Solve for x
    x = 10,922.04/135.08
  6. Step 6: Final answer
    x = 80.86

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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.