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Finding the Fourth Proportional to 135.05, 202.64 and 83.72

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Solution

The fourth proportional to 135.05, 202.64 and 83.72 is: 125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 202.64 = 83.72 : x
  2. Step 2: Convert to fraction form
    135.05/202.64 = 83.72/x
  3. Step 3: Cross multiply
    135.05x = 202.64 × 83.72
  4. Step 4: Simplify right side
    135.05x = 16,965.11
  5. Step 5: Solve for x
    x = 16,965.11/135.05
  6. Step 6: Final answer
    x = 125.63

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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.