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Finding the Fourth Proportional to 135.29, 202.86 and 54.15

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Solution

The fourth proportional to 135.29, 202.86 and 54.15 is: 81.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 202.86 = 54.15 : x
  2. Step 2: Convert to fraction form
    135.29/202.86 = 54.15/x
  3. Step 3: Cross multiply
    135.29x = 202.86 × 54.15
  4. Step 4: Simplify right side
    135.29x = 10,984.87
  5. Step 5: Solve for x
    x = 10,984.87/135.29
  6. Step 6: Final answer
    x = 81.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.