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Finding the Fourth Proportional to 136.05, 187.75 and 77.82

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Solution

The fourth proportional to 136.05, 187.75 and 77.82 is: 107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 187.75 = 77.82 : x
  2. Step 2: Convert to fraction form
    136.05/187.75 = 77.82/x
  3. Step 3: Cross multiply
    136.05x = 187.75 × 77.82
  4. Step 4: Simplify right side
    136.05x = 14,610.71
  5. Step 5: Solve for x
    x = 14,610.71/136.05
  6. Step 6: Final answer
    x = 107.39

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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.