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Finding the Fourth Proportional to 135.05, 186.38 and 76.83

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Solution

The fourth proportional to 135.05, 186.38 and 76.83 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 186.38 = 76.83 : x
  2. Step 2: Convert to fraction form
    135.05/186.38 = 76.83/x
  3. Step 3: Cross multiply
    135.05x = 186.38 × 76.83
  4. Step 4: Simplify right side
    135.05x = 14,319.19
  5. Step 5: Solve for x
    x = 14,319.19/135.05
  6. Step 6: Final answer
    x = 106.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.