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Finding the Fourth Proportional to 135.14, 202.52 and 77.29

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Solution

The fourth proportional to 135.14, 202.52 and 77.29 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 202.52 = 77.29 : x
  2. Step 2: Convert to fraction form
    135.14/202.52 = 77.29/x
  3. Step 3: Cross multiply
    135.14x = 202.52 × 77.29
  4. Step 4: Simplify right side
    135.14x = 15,652.46
  5. Step 5: Solve for x
    x = 15,652.46/135.14
  6. Step 6: Final answer
    x = 115.82

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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.