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Finding the Fourth Proportional to 136.36, 187.86 and 112.84

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Solution

The fourth proportional to 136.36, 187.86 and 112.84 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.36 : 187.86 = 112.84 : x
  2. Step 2: Convert to fraction form
    136.36/187.86 = 112.84/x
  3. Step 3: Cross multiply
    136.36x = 187.86 × 112.84
  4. Step 4: Simplify right side
    136.36x = 21,198.12
  5. Step 5: Solve for x
    x = 21,198.12/136.36
  6. Step 6: Final answer
    x = 155.46

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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.