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Finding the Fourth Proportional to 136.14, 187.85 and 77.92

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Solution

The fourth proportional to 136.14, 187.85 and 77.92 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 187.85 = 77.92 : x
  2. Step 2: Convert to fraction form
    136.14/187.85 = 77.92/x
  3. Step 3: Cross multiply
    136.14x = 187.85 × 77.92
  4. Step 4: Simplify right side
    136.14x = 14,637.27
  5. Step 5: Solve for x
    x = 14,637.27/136.14
  6. Step 6: Final answer
    x = 107.52

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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.