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Finding the Fourth Proportional to 135.42, 202.77 and 81.24

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Solution

The fourth proportional to 135.42, 202.77 and 81.24 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 202.77 = 81.24 : x
  2. Step 2: Convert to fraction form
    135.42/202.77 = 81.24/x
  3. Step 3: Cross multiply
    135.42x = 202.77 × 81.24
  4. Step 4: Simplify right side
    135.42x = 16,473.03
  5. Step 5: Solve for x
    x = 16,473.03/135.42
  6. Step 6: Final answer
    x = 121.64

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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.