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Finding the Fourth Proportional to 135.82, 187.45 and 76.83

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Solution

The fourth proportional to 135.82, 187.45 and 76.83 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 187.45 = 76.83 : x
  2. Step 2: Convert to fraction form
    135.82/187.45 = 76.83/x
  3. Step 3: Cross multiply
    135.82x = 187.45 × 76.83
  4. Step 4: Simplify right side
    135.82x = 14,401.83
  5. Step 5: Solve for x
    x = 14,401.83/135.82
  6. Step 6: Final answer
    x = 106.04

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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.