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Finding the Fourth Proportional to 136.16, 187.85 and 96.78

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Solution

The fourth proportional to 136.16, 187.85 and 96.78 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.16 : 187.85 = 96.78 : x
  2. Step 2: Convert to fraction form
    136.16/187.85 = 96.78/x
  3. Step 3: Cross multiply
    136.16x = 187.85 × 96.78
  4. Step 4: Simplify right side
    136.16x = 18,180.36
  5. Step 5: Solve for x
    x = 18,180.36/136.16
  6. Step 6: Final answer
    x = 133.53

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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.